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Finding the Fourth Proportional to 132,182.94, 198,112 and 52,140.56

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Solution

The fourth proportional to 132,182.94, 198,112 and 52,140.56 is: 78,146.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,182.94 : 198,112 = 52,140.56 : x
  2. Step 2: Convert to fraction form
    132,182.94/198,112 = 52,140.56/x
  3. Step 3: Cross multiply
    132,182.94x = 198,112 × 52,140.56
  4. Step 4: Simplify right side
    132,182.94x = 10,329,670,622.72
  5. Step 5: Solve for x
    x = 10,329,670,622.72/132,182.94
  6. Step 6: Final answer
    x = 78,146.78

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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.