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Finding the Fourth Proportional to 268,066.80, 402,100.20 and 224,764.20

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Solution

The fourth proportional to 268,066.80, 402,100.20 and 224,764.20 is: 337,146.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,066.80 : 402,100.20 = 224,764.20 : x
  2. Step 2: Convert to fraction form
    268,066.80/402,100.20 = 224,764.20/x
  3. Step 3: Cross multiply
    268,066.80x = 402,100.20 × 224,764.20
  4. Step 4: Simplify right side
    268,066.80x = 90,377,729,772.84
  5. Step 5: Solve for x
    x = 90,377,729,772.84/268,066.80
  6. Step 6: Final answer
    x = 337,146.30

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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.