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Finding the Fourth Proportional to 224,493.12, 309,799.08 and 123,891.12

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Solution

The fourth proportional to 224,493.12, 309,799.08 and 123,891.12 is: 170,968.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,493.12 : 309,799.08 = 123,891.12 : x
  2. Step 2: Convert to fraction form
    224,493.12/309,799.08 = 123,891.12/x
  3. Step 3: Cross multiply
    224,493.12x = 309,799.08 × 123,891.12
  4. Step 4: Simplify right side
    224,493.12x = 38,381,354,996.17
  5. Step 5: Solve for x
    x = 38,381,354,996.17/224,493.12
  6. Step 6: Final answer
    x = 170,968.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.