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Finding the Fourth Proportional to 224,082.71, 309,226.30 and 125,962.96

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Solution

The fourth proportional to 224,082.71, 309,226.30 and 125,962.96 is: 173,824.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,082.71 : 309,226.30 = 125,962.96 : x
  2. Step 2: Convert to fraction form
    224,082.71/309,226.30 = 125,962.96/x
  3. Step 3: Cross multiply
    224,082.71x = 309,226.30 × 125,962.96
  4. Step 4: Simplify right side
    224,082.71x = 38,951,058,502.84
  5. Step 5: Solve for x
    x = 38,951,058,502.84/224,082.71
  6. Step 6: Final answer
    x = 173,824.47

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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.