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Finding the Fourth Proportional to 125,204.78, 187,807.50 and 36,460.46

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Solution

The fourth proportional to 125,204.78, 187,807.50 and 36,460.46 is: 54,690.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,204.78 : 187,807.50 = 36,460.46 : x
  2. Step 2: Convert to fraction form
    125,204.78/187,807.50 = 36,460.46/x
  3. Step 3: Cross multiply
    125,204.78x = 187,807.50 × 36,460.46
  4. Step 4: Simplify right side
    125,204.78x = 6,847,546,902.41
  5. Step 5: Solve for x
    x = 6,847,546,902.41/125,204.78
  6. Step 6: Final answer
    x = 54,690.78

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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.