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Finding the Fourth Proportional to 224,616.92, 309,972.42 and 122,644.46

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Solution

The fourth proportional to 224,616.92, 309,972.42 and 122,644.46 is: 169,249.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,616.92 : 309,972.42 = 122,644.46 : x
  2. Step 2: Convert to fraction form
    224,616.92/309,972.42 = 122,644.46/x
  3. Step 3: Cross multiply
    224,616.92x = 309,972.42 × 122,644.46
  4. Step 4: Simplify right side
    224,616.92x = 38,016,400,065.79
  5. Step 5: Solve for x
    x = 38,016,400,065.79/224,616.92
  6. Step 6: Final answer
    x = 169,249.94

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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.