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Finding the Fourth Proportional to 224,411.26, 309,594.81 and 156,468.46

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Solution

The fourth proportional to 224,411.26, 309,594.81 and 156,468.46 is: 215,861.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,411.26 : 309,594.81 = 156,468.46 : x
  2. Step 2: Convert to fraction form
    224,411.26/309,594.81 = 156,468.46/x
  3. Step 3: Cross multiply
    224,411.26x = 309,594.81 × 156,468.46
  4. Step 4: Simplify right side
    224,411.26x = 48,441,823,144.69
  5. Step 5: Solve for x
    x = 48,441,823,144.69/224,411.26
  6. Step 6: Final answer
    x = 215,861.82

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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.