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Finding the Fourth Proportional to 135,642.16, 187,197.24 and 75,231.76

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Solution

The fourth proportional to 135,642.16, 187,197.24 and 75,231.76 is: 103,825.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,642.16 : 187,197.24 = 75,231.76 : x
  2. Step 2: Convert to fraction form
    135,642.16/187,197.24 = 75,231.76/x
  3. Step 3: Cross multiply
    135,642.16x = 187,197.24 × 75,231.76
  4. Step 4: Simplify right side
    135,642.16x = 14,083,177,832.34
  5. Step 5: Solve for x
    x = 14,083,177,832.34/135,642.16
  6. Step 6: Final answer
    x = 103,825.96

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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.