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Finding the Fourth Proportional to 132,671.46, 199,006.74 and 53,785.50

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Solution

The fourth proportional to 132,671.46, 199,006.74 and 53,785.50 is: 80,678.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,671.46 : 199,006.74 = 53,785.50 : x
  2. Step 2: Convert to fraction form
    132,671.46/199,006.74 = 53,785.50/x
  3. Step 3: Cross multiply
    132,671.46x = 199,006.74 × 53,785.50
  4. Step 4: Simplify right side
    132,671.46x = 10,703,677,014.27
  5. Step 5: Solve for x
    x = 10,703,677,014.27/132,671.46
  6. Step 6: Final answer
    x = 80,678.07

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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.