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Finding the Fourth Proportional to 224,742.40, 337,113.60 and 205,496.80

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Solution

The fourth proportional to 224,742.40, 337,113.60 and 205,496.80 is: 308,245.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,742.40 : 337,113.60 = 205,496.80 : x
  2. Step 2: Convert to fraction form
    224,742.40/337,113.60 = 205,496.80/x
  3. Step 3: Cross multiply
    224,742.40x = 337,113.60 × 205,496.80
  4. Step 4: Simplify right side
    224,742.40x = 69,275,766,036.48
  5. Step 5: Solve for x
    x = 69,275,766,036.48/224,742.40
  6. Step 6: Final answer
    x = 308,245.20

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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.