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Finding the Fourth Proportional to 206,545.47, 285,009.60 and 115,882.59

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Solution

The fourth proportional to 206,545.47, 285,009.60 and 115,882.59 is: 159,904.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,545.47 : 285,009.60 = 115,882.59 : x
  2. Step 2: Convert to fraction form
    206,545.47/285,009.60 = 115,882.59/x
  3. Step 3: Cross multiply
    206,545.47x = 285,009.60 × 115,882.59
  4. Step 4: Simplify right side
    206,545.47x = 33,027,650,622.86
  5. Step 5: Solve for x
    x = 33,027,650,622.86/206,545.47
  6. Step 6: Final answer
    x = 159,904.99

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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.