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Finding the Fourth Proportional to 192,456,129.60, 288,684,194.40 and 186,787,425.60

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Solution

The fourth proportional to 192,456,129.60, 288,684,194.40 and 186,787,425.60 is: 280,181,138.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,456,129.60 : 288,684,194.40 = 186,787,425.60 : x
  2. Step 2: Convert to fraction form
    192,456,129.60/288,684,194.40 = 186,787,425.60/x
  3. Step 3: Cross multiply
    192,456,129.60x = 288,684,194.40 × 186,787,425.60
  4. Step 4: Simplify right side
    192,456,129.60x = 53,922,577,483,385,928
  5. Step 5: Solve for x
    x = 53,922,577,483,385,928/192,456,129.60
  6. Step 6: Final answer
    x = 280,181,138.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.