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Finding the Fourth Proportional to 159,335.24, 239,053.41 and 47,016

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Solution

The fourth proportional to 159,335.24, 239,053.41 and 47,016 is: 70,538.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,335.24 : 239,053.41 = 47,016 : x
  2. Step 2: Convert to fraction form
    159,335.24/239,053.41 = 47,016/x
  3. Step 3: Cross multiply
    159,335.24x = 239,053.41 × 47,016
  4. Step 4: Simplify right side
    159,335.24x = 11,239,335,124.56
  5. Step 5: Solve for x
    x = 11,239,335,124.56/159,335.24
  6. Step 6: Final answer
    x = 70,538.92

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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.