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Finding the Fourth Proportional to 311,135.06, 466,691.64 and 97,897.10

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Solution

The fourth proportional to 311,135.06, 466,691.64 and 97,897.10 is: 146,842.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,135.06 : 466,691.64 = 97,897.10 : x
  2. Step 2: Convert to fraction form
    311,135.06/466,691.64 = 97,897.10/x
  3. Step 3: Cross multiply
    311,135.06x = 466,691.64 × 97,897.10
  4. Step 4: Simplify right side
    311,135.06x = 45,687,755,816.79
  5. Step 5: Solve for x
    x = 45,687,755,816.79/311,135.06
  6. Step 6: Final answer
    x = 146,842.20

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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.