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Finding the Fourth Proportional to 110,691.70, 166,160.47 and 57,369.40

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Solution

The fourth proportional to 110,691.70, 166,160.47 and 57,369.40 is: 86,117.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,691.70 : 166,160.47 = 57,369.40 : x
  2. Step 2: Convert to fraction form
    110,691.70/166,160.47 = 57,369.40/x
  3. Step 3: Cross multiply
    110,691.70x = 166,160.47 × 57,369.40
  4. Step 4: Simplify right side
    110,691.70x = 9,532,527,058.58
  5. Step 5: Solve for x
    x = 9,532,527,058.58/110,691.70
  6. Step 6: Final answer
    x = 86,117.81

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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.