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Finding the Fourth Proportional to 159,862.30, 239,793.42 and 47,542.06

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Solution

The fourth proportional to 159,862.30, 239,793.42 and 47,542.06 is: 71,313.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,862.30 : 239,793.42 = 47,542.06 : x
  2. Step 2: Convert to fraction form
    159,862.30/239,793.42 = 47,542.06/x
  3. Step 3: Cross multiply
    159,862.30x = 239,793.42 × 47,542.06
  4. Step 4: Simplify right side
    159,862.30x = 11,400,273,161.25
  5. Step 5: Solve for x
    x = 11,400,273,161.25/159,862.30
  6. Step 6: Final answer
    x = 71,313.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.