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Finding the Fourth Proportional to 125,097.42, 172,654.59 and 71,384.70

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Solution

The fourth proportional to 125,097.42, 172,654.59 and 71,384.70 is: 98,522.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,097.42 : 172,654.59 = 71,384.70 : x
  2. Step 2: Convert to fraction form
    125,097.42/172,654.59 = 71,384.70/x
  3. Step 3: Cross multiply
    125,097.42x = 172,654.59 × 71,384.70
  4. Step 4: Simplify right side
    125,097.42x = 12,324,896,110.77
  5. Step 5: Solve for x
    x = 12,324,896,110.77/125,097.42
  6. Step 6: Final answer
    x = 98,522.38

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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.