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Finding the Fourth Proportional to 159,098.48, 219,550 and 87,474.24

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Solution

The fourth proportional to 159,098.48, 219,550 and 87,474.24 is: 120,711.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,098.48 : 219,550 = 87,474.24 : x
  2. Step 2: Convert to fraction form
    159,098.48/219,550 = 87,474.24/x
  3. Step 3: Cross multiply
    159,098.48x = 219,550 × 87,474.24
  4. Step 4: Simplify right side
    159,098.48x = 19,204,969,392
  5. Step 5: Solve for x
    x = 19,204,969,392/159,098.48
  6. Step 6: Final answer
    x = 120,711.21

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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.