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Finding the Fourth Proportional to 125,204.78, 187,825.60 and 36,446.60

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Solution

The fourth proportional to 125,204.78, 187,825.60 and 36,446.60 is: 54,675.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,204.78 : 187,825.60 = 36,446.60 : x
  2. Step 2: Convert to fraction form
    125,204.78/187,825.60 = 36,446.60/x
  3. Step 3: Cross multiply
    125,204.78x = 187,825.60 × 36,446.60
  4. Step 4: Simplify right side
    125,204.78x = 6,845,604,512.96
  5. Step 5: Solve for x
    x = 6,845,604,512.96/125,204.78
  6. Step 6: Final answer
    x = 54,675.26

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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.