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Finding the Fourth Proportional to 136,147.68, 204,243.39 and 57,284.46

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Solution

The fourth proportional to 136,147.68, 204,243.39 and 57,284.46 is: 85,935.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,147.68 : 204,243.39 = 57,284.46 : x
  2. Step 2: Convert to fraction form
    136,147.68/204,243.39 = 57,284.46/x
  3. Step 3: Cross multiply
    136,147.68x = 204,243.39 × 57,284.46
  4. Step 4: Simplify right side
    136,147.68x = 11,699,972,304.72
  5. Step 5: Solve for x
    x = 11,699,972,304.72/136,147.68
  6. Step 6: Final answer
    x = 85,935.89

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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.