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Finding the Fourth Proportional to 241,414.60, 362,121.90 and 83,648.20

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Solution

The fourth proportional to 241,414.60, 362,121.90 and 83,648.20 is: 125,472.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,414.60 : 362,121.90 = 83,648.20 : x
  2. Step 2: Convert to fraction form
    241,414.60/362,121.90 = 83,648.20/x
  3. Step 3: Cross multiply
    241,414.60x = 362,121.90 × 83,648.20
  4. Step 4: Simplify right side
    241,414.60x = 30,290,845,115.58
  5. Step 5: Solve for x
    x = 30,290,845,115.58/241,414.60
  6. Step 6: Final answer
    x = 125,472.30

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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.