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Finding the Fourth Proportional to 134,535.78, 185,664.24 and 83,576.64

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Solution

The fourth proportional to 134,535.78, 185,664.24 and 83,576.64 is: 115,338.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,535.78 : 185,664.24 = 83,576.64 : x
  2. Step 2: Convert to fraction form
    134,535.78/185,664.24 = 83,576.64/x
  3. Step 3: Cross multiply
    134,535.78x = 185,664.24 × 83,576.64
  4. Step 4: Simplify right side
    134,535.78x = 15,517,193,347.35
  5. Step 5: Solve for x
    x = 15,517,193,347.35/134,535.78
  6. Step 6: Final answer
    x = 115,338.78

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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.