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Finding the Fourth Proportional to 123,751.65, 185,715.97 and 52,724.03

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Solution

The fourth proportional to 123,751.65, 185,715.97 and 52,724.03 is: 79,123.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,751.65 : 185,715.97 = 52,724.03 : x
  2. Step 2: Convert to fraction form
    123,751.65/185,715.97 = 52,724.03/x
  3. Step 3: Cross multiply
    123,751.65x = 185,715.97 × 52,724.03
  4. Step 4: Simplify right side
    123,751.65x = 9,791,694,706.24
  5. Step 5: Solve for x
    x = 9,791,694,706.24/123,751.65
  6. Step 6: Final answer
    x = 79,123.75

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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.