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Finding the Fourth Proportional to 192,188.48, 288,292.44 and 73,818.32

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Solution

The fourth proportional to 192,188.48, 288,292.44 and 73,818.32 is: 110,731.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,188.48 : 288,292.44 = 73,818.32 : x
  2. Step 2: Convert to fraction form
    192,188.48/288,292.44 = 73,818.32/x
  3. Step 3: Cross multiply
    192,188.48x = 288,292.44 × 73,818.32
  4. Step 4: Simplify right side
    192,188.48x = 21,281,263,589.50
  5. Step 5: Solve for x
    x = 21,281,263,589.50/192,188.48
  6. Step 6: Final answer
    x = 110,731.21

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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.