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Finding the Fourth Proportional to 123,629.60, 185,433.60 and 40,523.60

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Solution

The fourth proportional to 123,629.60, 185,433.60 and 40,523.60 is: 60,781.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,629.60 : 185,433.60 = 40,523.60 : x
  2. Step 2: Convert to fraction form
    123,629.60/185,433.60 = 40,523.60/x
  3. Step 3: Cross multiply
    123,629.60x = 185,433.60 × 40,523.60
  4. Step 4: Simplify right side
    123,629.60x = 7,514,437,032.96
  5. Step 5: Solve for x
    x = 7,514,437,032.96/123,629.60
  6. Step 6: Final answer
    x = 60,781.86

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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.