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Finding the Fourth Proportional to 159,238.26, 238,888.71 and 52,617.92

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Solution

The fourth proportional to 159,238.26, 238,888.71 and 52,617.92 is: 78,937.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,238.26 : 238,888.71 = 52,617.92 : x
  2. Step 2: Convert to fraction form
    159,238.26/238,888.71 = 52,617.92/x
  3. Step 3: Cross multiply
    159,238.26x = 238,888.71 × 52,617.92
  4. Step 4: Simplify right side
    159,238.26x = 12,569,825,837.24
  5. Step 5: Solve for x
    x = 12,569,825,837.24/159,238.26
  6. Step 6: Final answer
    x = 78,937.22

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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.