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Finding the Fourth Proportional to 149,877.20, 224,815.80 and 75,227.60

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Solution

The fourth proportional to 149,877.20, 224,815.80 and 75,227.60 is: 112,841.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,877.20 : 224,815.80 = 75,227.60 : x
  2. Step 2: Convert to fraction form
    149,877.20/224,815.80 = 75,227.60/x
  3. Step 3: Cross multiply
    149,877.20x = 224,815.80 × 75,227.60
  4. Step 4: Simplify right side
    149,877.20x = 16,912,353,076.08
  5. Step 5: Solve for x
    x = 16,912,353,076.08/149,877.20
  6. Step 6: Final answer
    x = 112,841.40

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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.