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Finding the Fourth Proportional to 224,489.84, 309,793.96 and 122,517.28

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Solution

The fourth proportional to 224,489.84, 309,793.96 and 122,517.28 is: 169,072.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,489.84 : 309,793.96 = 122,517.28 : x
  2. Step 2: Convert to fraction form
    224,489.84/309,793.96 = 122,517.28/x
  3. Step 3: Cross multiply
    224,489.84x = 309,793.96 × 122,517.28
  4. Step 4: Simplify right side
    224,489.84x = 37,955,113,339.63
  5. Step 5: Solve for x
    x = 37,955,113,339.63/224,489.84
  6. Step 6: Final answer
    x = 169,072.74

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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.