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Finding the Fourth Proportional to 209,324.60, 314,059.80 and 91,080.80

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Solution

The fourth proportional to 209,324.60, 314,059.80 and 91,080.80 is: 136,652.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,324.60 : 314,059.80 = 91,080.80 : x
  2. Step 2: Convert to fraction form
    209,324.60/314,059.80 = 91,080.80/x
  3. Step 3: Cross multiply
    209,324.60x = 314,059.80 × 91,080.80
  4. Step 4: Simplify right side
    209,324.60x = 28,604,817,831.84
  5. Step 5: Solve for x
    x = 28,604,817,831.84/209,324.60
  6. Step 6: Final answer
    x = 136,652.92

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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.