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Finding the Fourth Proportional to 135,713.20, 187,285.34 and 75,287.80

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Solution

The fourth proportional to 135,713.20, 187,285.34 and 75,287.80 is: 103,897.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,713.20 : 187,285.34 = 75,287.80 : x
  2. Step 2: Convert to fraction form
    135,713.20/187,285.34 = 75,287.80/x
  3. Step 3: Cross multiply
    135,713.20x = 187,285.34 × 75,287.80
  4. Step 4: Simplify right side
    135,713.20x = 14,100,301,220.85
  5. Step 5: Solve for x
    x = 14,100,301,220.85/135,713.20
  6. Step 6: Final answer
    x = 103,897.79

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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.