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Finding the Fourth Proportional to 169,499.21, 233,891.87 and 101,514.44

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Solution

The fourth proportional to 169,499.21, 233,891.87 and 101,514.44 is: 140,079.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,499.21 : 233,891.87 = 101,514.44 : x
  2. Step 2: Convert to fraction form
    169,499.21/233,891.87 = 101,514.44/x
  3. Step 3: Cross multiply
    169,499.21x = 233,891.87 × 101,514.44
  4. Step 4: Simplify right side
    169,499.21x = 23,743,400,526.57
  5. Step 5: Solve for x
    x = 23,743,400,526.57/169,499.21
  6. Step 6: Final answer
    x = 140,079.72

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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.