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Finding the Fourth Proportional to 159,862.40, 239,797.70 and 75,661.98

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Solution

The fourth proportional to 159,862.40, 239,797.70 and 75,661.98 is: 113,494.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,862.40 : 239,797.70 = 75,661.98 : x
  2. Step 2: Convert to fraction form
    159,862.40/239,797.70 = 75,661.98/x
  3. Step 3: Cross multiply
    159,862.40x = 239,797.70 × 75,661.98
  4. Step 4: Simplify right side
    159,862.40x = 18,143,568,403.14
  5. Step 5: Solve for x
    x = 18,143,568,403.14/159,862.40
  6. Step 6: Final answer
    x = 113,494.91

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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.