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Finding the Fourth Proportional to 219,892.38, 329,908.67 and 98,294.18

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Solution

The fourth proportional to 219,892.38, 329,908.67 and 98,294.18 is: 147,472.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,892.38 : 329,908.67 = 98,294.18 : x
  2. Step 2: Convert to fraction form
    219,892.38/329,908.67 = 98,294.18/x
  3. Step 3: Cross multiply
    219,892.38x = 329,908.67 × 98,294.18
  4. Step 4: Simplify right side
    219,892.38x = 32,428,100,051.53
  5. Step 5: Solve for x
    x = 32,428,100,051.53/219,892.38
  6. Step 6: Final answer
    x = 147,472.60

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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.