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Finding the Fourth Proportional to 172,344.13, 237,834.89 and 96,893.17

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Solution

The fourth proportional to 172,344.13, 237,834.89 and 96,893.17 is: 133,712.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,344.13 : 237,834.89 = 96,893.17 : x
  2. Step 2: Convert to fraction form
    172,344.13/237,834.89 = 96,893.17/x
  3. Step 3: Cross multiply
    172,344.13x = 237,834.89 × 96,893.17
  4. Step 4: Simplify right side
    172,344.13x = 23,044,576,428.70
  5. Step 5: Solve for x
    x = 23,044,576,428.70/172,344.13
  6. Step 6: Final answer
    x = 133,712.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.