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Finding the Fourth Proportional to 132,405.78, 198,546.24 and 48,106.50

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Solution

The fourth proportional to 132,405.78, 198,546.24 and 48,106.50 is: 72,137.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,405.78 : 198,546.24 = 48,106.50 : x
  2. Step 2: Convert to fraction form
    132,405.78/198,546.24 = 48,106.50/x
  3. Step 3: Cross multiply
    132,405.78x = 198,546.24 × 48,106.50
  4. Step 4: Simplify right side
    132,405.78x = 9,551,364,694.56
  5. Step 5: Solve for x
    x = 9,551,364,694.56/132,405.78
  6. Step 6: Final answer
    x = 72,137.07

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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.