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Finding the Fourth Proportional to 177,000.38, 244,257.68 and 96,428.88

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Solution

The fourth proportional to 177,000.38, 244,257.68 and 96,428.88 is: 133,070.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,000.38 : 244,257.68 = 96,428.88 : x
  2. Step 2: Convert to fraction form
    177,000.38/244,257.68 = 96,428.88/x
  3. Step 3: Cross multiply
    177,000.38x = 244,257.68 × 96,428.88
  4. Step 4: Simplify right side
    177,000.38x = 23,553,494,513.80
  5. Step 5: Solve for x
    x = 23,553,494,513.80/177,000.38
  6. Step 6: Final answer
    x = 133,070.30

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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.