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Finding the Fourth Proportional to 217,044.97, 299,524.14 and 120,250.90

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Solution

The fourth proportional to 217,044.97, 299,524.14 and 120,250.90 is: 165,947.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,044.97 : 299,524.14 = 120,250.90 : x
  2. Step 2: Convert to fraction form
    217,044.97/299,524.14 = 120,250.90/x
  3. Step 3: Cross multiply
    217,044.97x = 299,524.14 × 120,250.90
  4. Step 4: Simplify right side
    217,044.97x = 36,018,047,406.73
  5. Step 5: Solve for x
    x = 36,018,047,406.73/217,044.97
  6. Step 6: Final answer
    x = 165,947.40

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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.