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Finding the Fourth Proportional to 185,902.38, 256,545.09 and 101,019.24

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Solution

The fourth proportional to 185,902.38, 256,545.09 and 101,019.24 is: 139,406.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,902.38 : 256,545.09 = 101,019.24 : x
  2. Step 2: Convert to fraction form
    185,902.38/256,545.09 = 101,019.24/x
  3. Step 3: Cross multiply
    185,902.38x = 256,545.09 × 101,019.24
  4. Step 4: Simplify right side
    185,902.38x = 25,915,990,017.53
  5. Step 5: Solve for x
    x = 25,915,990,017.53/185,902.38
  6. Step 6: Final answer
    x = 139,406.45

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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.