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Finding the Fourth Proportional to 231,261.66, 319,143.29 and 135,769.95

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Solution

The fourth proportional to 231,261.66, 319,143.29 and 135,769.95 is: 187,363.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,261.66 : 319,143.29 = 135,769.95 : x
  2. Step 2: Convert to fraction form
    231,261.66/319,143.29 = 135,769.95/x
  3. Step 3: Cross multiply
    231,261.66x = 319,143.29 × 135,769.95
  4. Step 4: Simplify right side
    231,261.66x = 43,330,067,847.29
  5. Step 5: Solve for x
    x = 43,330,067,847.29/231,261.66
  6. Step 6: Final answer
    x = 187,363.82

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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.