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Finding the Fourth Proportional to 135,953.78, 187,646.22 and 75,545.19

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Solution

The fourth proportional to 135,953.78, 187,646.22 and 75,545.19 is: 104,269.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,953.78 : 187,646.22 = 75,545.19 : x
  2. Step 2: Convert to fraction form
    135,953.78/187,646.22 = 75,545.19/x
  3. Step 3: Cross multiply
    135,953.78x = 187,646.22 × 75,545.19
  4. Step 4: Simplify right side
    135,953.78x = 14,175,769,342.68
  5. Step 5: Solve for x
    x = 14,175,769,342.68/135,953.78
  6. Step 6: Final answer
    x = 104,269.04

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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.