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Finding the Fourth Proportional to 224,034.46, 309,167.69 and 123,432.46

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Solution

The fourth proportional to 224,034.46, 309,167.69 and 123,432.46 is: 170,336.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,034.46 : 309,167.69 = 123,432.46 : x
  2. Step 2: Convert to fraction form
    224,034.46/309,167.69 = 123,432.46/x
  3. Step 3: Cross multiply
    224,034.46x = 309,167.69 × 123,432.46
  4. Step 4: Simplify right side
    224,034.46x = 38,161,327,139.14
  5. Step 5: Solve for x
    x = 38,161,327,139.14/224,034.46
  6. Step 6: Final answer
    x = 170,336.86

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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.