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Finding the Fourth Proportional to 132,205.26, 182,443.32 and 71,775.84

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Solution

The fourth proportional to 132,205.26, 182,443.32 and 71,775.84 is: 99,050.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,205.26 : 182,443.32 = 71,775.84 : x
  2. Step 2: Convert to fraction form
    132,205.26/182,443.32 = 71,775.84/x
  3. Step 3: Cross multiply
    132,205.26x = 182,443.32 × 71,775.84
  4. Step 4: Simplify right side
    132,205.26x = 13,095,022,545.39
  5. Step 5: Solve for x
    x = 13,095,022,545.39/132,205.26
  6. Step 6: Final answer
    x = 99,050.69

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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.