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Finding the Fourth Proportional to 268,470.52, 402,897.60 and 97,691.78

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Solution

The fourth proportional to 268,470.52, 402,897.60 and 97,691.78 is: 146,607.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,470.52 : 402,897.60 = 97,691.78 : x
  2. Step 2: Convert to fraction form
    268,470.52/402,897.60 = 97,691.78/x
  3. Step 3: Cross multiply
    268,470.52x = 402,897.60 × 97,691.78
  4. Step 4: Simplify right side
    268,470.52x = 39,359,784,708.97
  5. Step 5: Solve for x
    x = 39,359,784,708.97/268,470.52
  6. Step 6: Final answer
    x = 146,607.48

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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.