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Finding the Fourth Proportional to 159,141.26, 238,741.41 and 52,532.65

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Solution

The fourth proportional to 159,141.26, 238,741.41 and 52,532.65 is: 78,808.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,141.26 : 238,741.41 = 52,532.65 : x
  2. Step 2: Convert to fraction form
    159,141.26/238,741.41 = 52,532.65/x
  3. Step 3: Cross multiply
    159,141.26x = 238,741.41 × 52,532.65
  4. Step 4: Simplify right side
    159,141.26x = 12,541,717,986.04
  5. Step 5: Solve for x
    x = 12,541,717,986.04/159,141.26
  6. Step 6: Final answer
    x = 78,808.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.