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Finding the Fourth Proportional to 132,872.48, 199,357.32 and 61,829

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Solution

The fourth proportional to 132,872.48, 199,357.32 and 61,829 is: 92,766.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,872.48 : 199,357.32 = 61,829 : x
  2. Step 2: Convert to fraction form
    132,872.48/199,357.32 = 61,829/x
  3. Step 3: Cross multiply
    132,872.48x = 199,357.32 × 61,829
  4. Step 4: Simplify right side
    132,872.48x = 12,326,063,738.28
  5. Step 5: Solve for x
    x = 12,326,063,738.28/132,872.48
  6. Step 6: Final answer
    x = 92,766.11

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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.