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Finding the Fourth Proportional to 136,306.62, 204,328.71 and 83,731.14

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Solution

The fourth proportional to 136,306.62, 204,328.71 and 83,731.14 is: 125,516.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,306.62 : 204,328.71 = 83,731.14 : x
  2. Step 2: Convert to fraction form
    136,306.62/204,328.71 = 83,731.14/x
  3. Step 3: Cross multiply
    136,306.62x = 204,328.71 × 83,731.14
  4. Step 4: Simplify right side
    136,306.62x = 17,108,675,823.03
  5. Step 5: Solve for x
    x = 17,108,675,823.03/136,306.62
  6. Step 6: Final answer
    x = 125,516.10

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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.