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Finding the Fourth Proportional to 224,432.97, 309,695.98 and 123,824.49

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Solution

The fourth proportional to 224,432.97, 309,695.98 and 123,824.49 is: 170,865.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,432.97 : 309,695.98 = 123,824.49 : x
  2. Step 2: Convert to fraction form
    224,432.97/309,695.98 = 123,824.49/x
  3. Step 3: Cross multiply
    224,432.97x = 309,695.98 × 123,824.49
  4. Step 4: Simplify right side
    224,432.97x = 38,347,946,778.55
  5. Step 5: Solve for x
    x = 38,347,946,778.55/224,432.97
  6. Step 6: Final answer
    x = 170,865.92

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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.