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Finding the Fourth Proportional to 172,957.96, 259,436.94 and 133,572.52

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Solution

The fourth proportional to 172,957.96, 259,436.94 and 133,572.52 is: 200,358.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,957.96 : 259,436.94 = 133,572.52 : x
  2. Step 2: Convert to fraction form
    172,957.96/259,436.94 = 133,572.52/x
  3. Step 3: Cross multiply
    172,957.96x = 259,436.94 × 133,572.52
  4. Step 4: Simplify right side
    172,957.96x = 34,653,645,856.89
  5. Step 5: Solve for x
    x = 34,653,645,856.89/172,957.96
  6. Step 6: Final answer
    x = 200,358.78

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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.