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Finding the Fourth Proportional to 159,862.88, 239,952.36 and 84,983.24

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Solution

The fourth proportional to 159,862.88, 239,952.36 and 84,983.24 is: 127,558.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,862.88 : 239,952.36 = 84,983.24 : x
  2. Step 2: Convert to fraction form
    159,862.88/239,952.36 = 84,983.24/x
  3. Step 3: Cross multiply
    159,862.88x = 239,952.36 × 84,983.24
  4. Step 4: Simplify right side
    159,862.88x = 20,391,928,998.45
  5. Step 5: Solve for x
    x = 20,391,928,998.45/159,862.88
  6. Step 6: Final answer
    x = 127,558.87

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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.