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Finding the Fourth Proportional to 107,049.88, 160,865.34 and 57,164.68

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Solution

The fourth proportional to 107,049.88, 160,865.34 and 57,164.68 is: 85,902.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,049.88 : 160,865.34 = 57,164.68 : x
  2. Step 2: Convert to fraction form
    107,049.88/160,865.34 = 57,164.68/x
  3. Step 3: Cross multiply
    107,049.88x = 160,865.34 × 57,164.68
  4. Step 4: Simplify right side
    107,049.88x = 9,195,815,684.19
  5. Step 5: Solve for x
    x = 9,195,815,684.19/107,049.88
  6. Step 6: Final answer
    x = 85,902.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.