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Finding the Fourth Proportional to 125,194.88, 187,826.46 and 45,242.24

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Solution

The fourth proportional to 125,194.88, 187,826.46 and 45,242.24 is: 67,875.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,194.88 : 187,826.46 = 45,242.24 : x
  2. Step 2: Convert to fraction form
    125,194.88/187,826.46 = 45,242.24/x
  3. Step 3: Cross multiply
    125,194.88x = 187,826.46 × 45,242.24
  4. Step 4: Simplify right side
    125,194.88x = 8,497,689,781.67
  5. Step 5: Solve for x
    x = 8,497,689,781.67/125,194.88
  6. Step 6: Final answer
    x = 67,875.70

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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.