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Finding the Fourth Proportional to 123,871.14, 185,656.59 and 57,172.50

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Solution

The fourth proportional to 123,871.14, 185,656.59 and 57,172.50 is: 85,689.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,871.14 : 185,656.59 = 57,172.50 : x
  2. Step 2: Convert to fraction form
    123,871.14/185,656.59 = 57,172.50/x
  3. Step 3: Cross multiply
    123,871.14x = 185,656.59 × 57,172.50
  4. Step 4: Simplify right side
    123,871.14x = 10,614,451,391.78
  5. Step 5: Solve for x
    x = 10,614,451,391.78/123,871.14
  6. Step 6: Final answer
    x = 85,689.46

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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.