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Finding the Fourth Proportional to 224,414.84, 309,654.42 and 133,769.18

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Solution

The fourth proportional to 224,414.84, 309,654.42 and 133,769.18 is: 184,578.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,414.84 : 309,654.42 = 133,769.18 : x
  2. Step 2: Convert to fraction form
    224,414.84/309,654.42 = 133,769.18/x
  3. Step 3: Cross multiply
    224,414.84x = 309,654.42 × 133,769.18
  4. Step 4: Simplify right side
    224,414.84x = 41,422,217,846.78
  5. Step 5: Solve for x
    x = 41,422,217,846.78/224,414.84
  6. Step 6: Final answer
    x = 184,578.78

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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.