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Finding the Fourth Proportional to 224,034.92, 309,168.05 and 123,432.92

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Solution

The fourth proportional to 224,034.92, 309,168.05 and 123,432.92 is: 170,337.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,034.92 : 309,168.05 = 123,432.92 : x
  2. Step 2: Convert to fraction form
    224,034.92/309,168.05 = 123,432.92/x
  3. Step 3: Cross multiply
    224,034.92x = 309,168.05 × 123,432.92
  4. Step 4: Simplify right side
    224,034.92x = 38,161,515,182.21
  5. Step 5: Solve for x
    x = 38,161,515,182.21/224,034.92
  6. Step 6: Final answer
    x = 170,337.35

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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.