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Finding the Fourth Proportional to 123,452.32, 185,201.52 and 40,404.64

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Solution

The fourth proportional to 123,452.32, 185,201.52 and 40,404.64 is: 60,614.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,452.32 : 185,201.52 = 40,404.64 : x
  2. Step 2: Convert to fraction form
    123,452.32/185,201.52 = 40,404.64/x
  3. Step 3: Cross multiply
    123,452.32x = 185,201.52 × 40,404.64
  4. Step 4: Simplify right side
    123,452.32x = 7,483,000,743.05
  5. Step 5: Solve for x
    x = 7,483,000,743.05/123,452.32
  6. Step 6: Final answer
    x = 60,614.50

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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.