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Finding the Fourth Proportional to 125,238.80, 187,414.75 and 77,876.20

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Solution

The fourth proportional to 125,238.80, 187,414.75 and 77,876.20 is: 116,538.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,238.80 : 187,414.75 = 77,876.20 : x
  2. Step 2: Convert to fraction form
    125,238.80/187,414.75 = 77,876.20/x
  3. Step 3: Cross multiply
    125,238.80x = 187,414.75 × 77,876.20
  4. Step 4: Simplify right side
    125,238.80x = 14,595,147,227.50
  5. Step 5: Solve for x
    x = 14,595,147,227.50/125,238.80
  6. Step 6: Final answer
    x = 116,538.54

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1.5x scale

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.