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Finding the Fourth Proportional to 224,978.40, 337,467.60 and 91,771.20

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Solution

The fourth proportional to 224,978.40, 337,467.60 and 91,771.20 is: 137,656.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,978.40 : 337,467.60 = 91,771.20 : x
  2. Step 2: Convert to fraction form
    224,978.40/337,467.60 = 91,771.20/x
  3. Step 3: Cross multiply
    224,978.40x = 337,467.60 × 91,771.20
  4. Step 4: Simplify right side
    224,978.40x = 30,969,806,613.12
  5. Step 5: Solve for x
    x = 30,969,806,613.12/224,978.40
  6. Step 6: Final answer
    x = 137,656.80

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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.