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Finding the Fourth Proportional to 224,689.31, 309,543.84 and 156,582.48

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Solution

The fourth proportional to 224,689.31, 309,543.84 and 156,582.48 is: 215,716.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,689.31 : 309,543.84 = 156,582.48 : x
  2. Step 2: Convert to fraction form
    224,689.31/309,543.84 = 156,582.48/x
  3. Step 3: Cross multiply
    224,689.31x = 309,543.84 × 156,582.48
  4. Step 4: Simplify right side
    224,689.31x = 48,469,142,135.92
  5. Step 5: Solve for x
    x = 48,469,142,135.92/224,689.31
  6. Step 6: Final answer
    x = 215,716.28

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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.