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Finding the Fourth Proportional to 151,843.47, 209,545.57 and 83,862.17

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Solution

The fourth proportional to 151,843.47, 209,545.57 and 83,862.17 is: 115,730.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,843.47 : 209,545.57 = 83,862.17 : x
  2. Step 2: Convert to fraction form
    151,843.47/209,545.57 = 83,862.17/x
  3. Step 3: Cross multiply
    151,843.47x = 209,545.57 × 83,862.17
  4. Step 4: Simplify right side
    151,843.47x = 17,572,944,995.91
  5. Step 5: Solve for x
    x = 17,572,944,995.91/151,843.47
  6. Step 6: Final answer
    x = 115,730.66

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1.5x scale

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.