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Finding the Fourth Proportional to 159,610.50, 239,419.40 and 47,288.61

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Solution

The fourth proportional to 159,610.50, 239,419.40 and 47,288.61 is: 70,933.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,610.50 : 239,419.40 = 47,288.61 : x
  2. Step 2: Convert to fraction form
    159,610.50/239,419.40 = 47,288.61/x
  3. Step 3: Cross multiply
    159,610.50x = 239,419.40 × 47,288.61
  4. Step 4: Simplify right side
    159,610.50x = 11,321,810,396.59
  5. Step 5: Solve for x
    x = 11,321,810,396.59/159,610.50
  6. Step 6: Final answer
    x = 70,933.99

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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.