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Finding the Fourth Proportional to 115,354.24, 159,182.76 and 65,050

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Solution

The fourth proportional to 115,354.24, 159,182.76 and 65,050 is: 89,765.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,354.24 : 159,182.76 = 65,050 : x
  2. Step 2: Convert to fraction form
    115,354.24/159,182.76 = 65,050/x
  3. Step 3: Cross multiply
    115,354.24x = 159,182.76 × 65,050
  4. Step 4: Simplify right side
    115,354.24x = 10,354,838,538
  5. Step 5: Solve for x
    x = 10,354,838,538/115,354.24
  6. Step 6: Final answer
    x = 89,765.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.