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Finding the Fourth Proportional to 121,414.80, 182,127.60 and 41,451.60

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Solution

The fourth proportional to 121,414.80, 182,127.60 and 41,451.60 is: 62,179.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,414.80 : 182,127.60 = 41,451.60 : x
  2. Step 2: Convert to fraction form
    121,414.80/182,127.60 = 41,451.60/x
  3. Step 3: Cross multiply
    121,414.80x = 182,127.60 × 41,451.60
  4. Step 4: Simplify right side
    121,414.80x = 7,549,480,424.16
  5. Step 5: Solve for x
    x = 7,549,480,424.16/121,414.80
  6. Step 6: Final answer
    x = 62,179.24

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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.