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Finding the Fourth Proportional to 159,454.50, 220,047.22 and 87,834.30

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Solution

The fourth proportional to 159,454.50, 220,047.22 and 87,834.30 is: 121,211.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,454.50 : 220,047.22 = 87,834.30 : x
  2. Step 2: Convert to fraction form
    159,454.50/220,047.22 = 87,834.30/x
  3. Step 3: Cross multiply
    159,454.50x = 220,047.22 × 87,834.30
  4. Step 4: Simplify right side
    159,454.50x = 19,327,693,535.65
  5. Step 5: Solve for x
    x = 19,327,693,535.65/159,454.50
  6. Step 6: Final answer
    x = 121,211.34

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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.