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Finding the Fourth Proportional to 159,512.96, 239,186.67 and 47,178.42

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Solution

The fourth proportional to 159,512.96, 239,186.67 and 47,178.42 is: 70,743.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,512.96 : 239,186.67 = 47,178.42 : x
  2. Step 2: Convert to fraction form
    159,512.96/239,186.67 = 47,178.42/x
  3. Step 3: Cross multiply
    159,512.96x = 239,186.67 × 47,178.42
  4. Step 4: Simplify right side
    159,512.96x = 11,284,448,367.17
  5. Step 5: Solve for x
    x = 11,284,448,367.17/159,512.96
  6. Step 6: Final answer
    x = 70,743.14

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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.