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Finding the Fourth Proportional to 132,541.98, 198,806.49 and 49,429.50

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Solution

The fourth proportional to 132,541.98, 198,806.49 and 49,429.50 is: 74,141.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,541.98 : 198,806.49 = 49,429.50 : x
  2. Step 2: Convert to fraction form
    132,541.98/198,806.49 = 49,429.50/x
  3. Step 3: Cross multiply
    132,541.98x = 198,806.49 × 49,429.50
  4. Step 4: Simplify right side
    132,541.98x = 9,826,905,397.46
  5. Step 5: Solve for x
    x = 9,826,905,397.46/132,541.98
  6. Step 6: Final answer
    x = 74,141.83

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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.