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Finding the Fourth Proportional to 107,081.73, 160,695.24 and 57,197.64

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Solution

The fourth proportional to 107,081.73, 160,695.24 and 57,197.64 is: 85,835.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,081.73 : 160,695.24 = 57,197.64 : x
  2. Step 2: Convert to fraction form
    107,081.73/160,695.24 = 57,197.64/x
  3. Step 3: Cross multiply
    107,081.73x = 160,695.24 × 57,197.64
  4. Step 4: Simplify right side
    107,081.73x = 9,191,388,487.23
  5. Step 5: Solve for x
    x = 9,191,388,487.23/107,081.73
  6. Step 6: Final answer
    x = 85,835.26

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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.