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Finding the Fourth Proportional to 123,529.50, 185,542.20 and 73,706.82

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Solution

The fourth proportional to 123,529.50, 185,542.20 and 73,706.82 is: 110,708.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,529.50 : 185,542.20 = 73,706.82 : x
  2. Step 2: Convert to fraction form
    123,529.50/185,542.20 = 73,706.82/x
  3. Step 3: Cross multiply
    123,529.50x = 185,542.20 × 73,706.82
  4. Step 4: Simplify right side
    123,529.50x = 13,675,725,537.80
  5. Step 5: Solve for x
    x = 13,675,725,537.80/123,529.50
  6. Step 6: Final answer
    x = 110,708.18

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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.