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Finding the Fourth Proportional to 81,285.80, 121,734.30 and 65,733.80

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Solution

The fourth proportional to 81,285.80, 121,734.30 and 65,733.80 is: 98,443.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,285.80 : 121,734.30 = 65,733.80 : x
  2. Step 2: Convert to fraction form
    81,285.80/121,734.30 = 65,733.80/x
  3. Step 3: Cross multiply
    81,285.80x = 121,734.30 × 65,733.80
  4. Step 4: Simplify right side
    81,285.80x = 8,002,058,129.34
  5. Step 5: Solve for x
    x = 8,002,058,129.34/81,285.80
  6. Step 6: Final answer
    x = 98,443.49

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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.