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Finding the Fourth Proportional to 149,635.20, 224,452.80 and 38,827.20

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Solution

The fourth proportional to 149,635.20, 224,452.80 and 38,827.20 is: 58,240.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,635.20 : 224,452.80 = 38,827.20 : x
  2. Step 2: Convert to fraction form
    149,635.20/224,452.80 = 38,827.20/x
  3. Step 3: Cross multiply
    149,635.20x = 224,452.80 × 38,827.20
  4. Step 4: Simplify right side
    149,635.20x = 8,714,873,756.16
  5. Step 5: Solve for x
    x = 8,714,873,756.16/149,635.20
  6. Step 6: Final answer
    x = 58,240.80

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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.