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Finding the Fourth Proportional to 125,414.64, 187,973.64 and 55,146.96

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Solution

The fourth proportional to 125,414.64, 187,973.64 and 55,146.96 is: 82,655.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,414.64 : 187,973.64 = 55,146.96 : x
  2. Step 2: Convert to fraction form
    125,414.64/187,973.64 = 55,146.96/x
  3. Step 3: Cross multiply
    125,414.64x = 187,973.64 × 55,146.96
  4. Step 4: Simplify right side
    125,414.64x = 10,366,174,806.13
  5. Step 5: Solve for x
    x = 10,366,174,806.13/125,414.64
  6. Step 6: Final answer
    x = 82,655.22

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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.