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Finding the Fourth Proportional to 107,414.30, 160,876.01 and 51,293.72

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Solution

The fourth proportional to 107,414.30, 160,876.01 and 51,293.72 is: 76,823.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,414.30 : 160,876.01 = 51,293.72 : x
  2. Step 2: Convert to fraction form
    107,414.30/160,876.01 = 51,293.72/x
  3. Step 3: Cross multiply
    107,414.30x = 160,876.01 × 51,293.72
  4. Step 4: Simplify right side
    107,414.30x = 8,251,929,542.08
  5. Step 5: Solve for x
    x = 8,251,929,542.08/107,414.30
  6. Step 6: Final answer
    x = 76,823.38

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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.