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Finding the Fourth Proportional to 159,338.96, 239,049.45 and 47,014.64

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Solution

The fourth proportional to 159,338.96, 239,049.45 and 47,014.64 is: 70,534.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,338.96 : 239,049.45 = 47,014.64 : x
  2. Step 2: Convert to fraction form
    159,338.96/239,049.45 = 47,014.64/x
  3. Step 3: Cross multiply
    159,338.96x = 239,049.45 × 47,014.64
  4. Step 4: Simplify right side
    159,338.96x = 11,238,823,833.95
  5. Step 5: Solve for x
    x = 11,238,823,833.95/159,338.96
  6. Step 6: Final answer
    x = 70,534.06

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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.