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Finding the Fourth Proportional to 325,851.28, 488,853.42 and 101,200.12

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Solution

The fourth proportional to 325,851.28, 488,853.42 and 101,200.12 is: 151,823.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,851.28 : 488,853.42 = 101,200.12 : x
  2. Step 2: Convert to fraction form
    325,851.28/488,853.42 = 101,200.12/x
  3. Step 3: Cross multiply
    325,851.28x = 488,853.42 × 101,200.12
  4. Step 4: Simplify right side
    325,851.28x = 49,472,024,766.41
  5. Step 5: Solve for x
    x = 49,472,024,766.41/325,851.28
  6. Step 6: Final answer
    x = 151,823.94

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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.