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Finding the Fourth Proportional to 107,856, 161,815.92 and 55,302.36

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Solution

The fourth proportional to 107,856, 161,815.92 and 55,302.36 is: 82,969.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,856 : 161,815.92 = 55,302.36 : x
  2. Step 2: Convert to fraction form
    107,856/161,815.92 = 55,302.36/x
  3. Step 3: Cross multiply
    107,856x = 161,815.92 × 55,302.36
  4. Step 4: Simplify right side
    107,856x = 8,948,802,261.57
  5. Step 5: Solve for x
    x = 8,948,802,261.57/107,856
  6. Step 6: Final answer
    x = 82,969.91

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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.