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Finding the Fourth Proportional to 149,871.20, 224,806.80 and 75,221.60

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Solution

The fourth proportional to 149,871.20, 224,806.80 and 75,221.60 is: 112,832.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,871.20 : 224,806.80 = 75,221.60 : x
  2. Step 2: Convert to fraction form
    149,871.20/224,806.80 = 75,221.60/x
  3. Step 3: Cross multiply
    149,871.20x = 224,806.80 × 75,221.60
  4. Step 4: Simplify right side
    149,871.20x = 16,910,327,186.88
  5. Step 5: Solve for x
    x = 16,910,327,186.88/149,871.20
  6. Step 6: Final answer
    x = 112,832.40

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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.