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Finding the Fourth Proportional to 159,847.65, 220,586.38 and 87,248.14

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Solution

The fourth proportional to 159,847.65, 220,586.38 and 87,248.14 is: 120,400.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,847.65 : 220,586.38 = 87,248.14 : x
  2. Step 2: Convert to fraction form
    159,847.65/220,586.38 = 87,248.14/x
  3. Step 3: Cross multiply
    159,847.65x = 220,586.38 × 87,248.14
  4. Step 4: Simplify right side
    159,847.65x = 19,245,751,364.33
  5. Step 5: Solve for x
    x = 19,245,751,364.33/159,847.65
  6. Step 6: Final answer
    x = 120,400.59

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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.