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Finding the Fourth Proportional to 224,375.22, 309,616.29 and 123,766.74

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Solution

The fourth proportional to 224,375.22, 309,616.29 and 123,766.74 is: 170,786.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,375.22 : 309,616.29 = 123,766.74 : x
  2. Step 2: Convert to fraction form
    224,375.22/309,616.29 = 123,766.74/x
  3. Step 3: Cross multiply
    224,375.22x = 309,616.29 × 123,766.74
  4. Step 4: Simplify right side
    224,375.22x = 38,320,198,864.19
  5. Step 5: Solve for x
    x = 38,320,198,864.19/224,375.22
  6. Step 6: Final answer
    x = 170,786.23

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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.