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Finding the Fourth Proportional to 224,891.16, 337,222.14 and 75,077.64

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Solution

The fourth proportional to 224,891.16, 337,222.14 and 75,077.64 is: 112,578.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,891.16 : 337,222.14 = 75,077.64 : x
  2. Step 2: Convert to fraction form
    224,891.16/337,222.14 = 75,077.64/x
  3. Step 3: Cross multiply
    224,891.16x = 337,222.14 × 75,077.64
  4. Step 4: Simplify right side
    224,891.16x = 25,317,842,426.95
  5. Step 5: Solve for x
    x = 25,317,842,426.95/224,891.16
  6. Step 6: Final answer
    x = 112,578.20

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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.