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Finding the Fourth Proportional to 125,049, 187,516.75 and 53,938.02

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Solution

The fourth proportional to 125,049, 187,516.75 and 53,938.02 is: 80,882.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,049 : 187,516.75 = 53,938.02 : x
  2. Step 2: Convert to fraction form
    125,049/187,516.75 = 53,938.02/x
  3. Step 3: Cross multiply
    125,049x = 187,516.75 × 53,938.02
  4. Step 4: Simplify right side
    125,049x = 10,114,282,211.84
  5. Step 5: Solve for x
    x = 10,114,282,211.84/125,049
  6. Step 6: Final answer
    x = 80,882.55

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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.