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Finding the Fourth Proportional to 274,691.30, 412,085.55 and 97,301.30

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Solution

The fourth proportional to 274,691.30, 412,085.55 and 97,301.30 is: 145,969.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,691.30 : 412,085.55 = 97,301.30 : x
  2. Step 2: Convert to fraction form
    274,691.30/412,085.55 = 97,301.30/x
  3. Step 3: Cross multiply
    274,691.30x = 412,085.55 × 97,301.30
  4. Step 4: Simplify right side
    274,691.30x = 40,096,459,726.22
  5. Step 5: Solve for x
    x = 40,096,459,726.22/274,691.30
  6. Step 6: Final answer
    x = 145,969.17

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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.