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Finding the Fourth Proportional to 125,229.49, 187,866.12 and 55,106.98

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Solution

The fourth proportional to 125,229.49, 187,866.12 and 55,106.98 is: 82,670.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,229.49 : 187,866.12 = 55,106.98 : x
  2. Step 2: Convert to fraction form
    125,229.49/187,866.12 = 55,106.98/x
  3. Step 3: Cross multiply
    125,229.49x = 187,866.12 × 55,106.98
  4. Step 4: Simplify right side
    125,229.49x = 10,352,734,517.52
  5. Step 5: Solve for x
    x = 10,352,734,517.52/125,229.49
  6. Step 6: Final answer
    x = 82,670.10

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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.