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Finding the Fourth Proportional to 120,668.34, 166,521.24 and 69,691.80

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Solution

The fourth proportional to 120,668.34, 166,521.24 and 69,691.80 is: 96,174.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,668.34 : 166,521.24 = 69,691.80 : x
  2. Step 2: Convert to fraction form
    120,668.34/166,521.24 = 69,691.80/x
  3. Step 3: Cross multiply
    120,668.34x = 166,521.24 × 69,691.80
  4. Step 4: Simplify right side
    120,668.34x = 11,605,164,953.83
  5. Step 5: Solve for x
    x = 11,605,164,953.83/120,668.34
  6. Step 6: Final answer
    x = 96,174.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.