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Finding the Fourth Proportional to 101,967.26, 140,714.69 and 56,649.42

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Solution

The fourth proportional to 101,967.26, 140,714.69 and 56,649.42 is: 78,176.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,967.26 : 140,714.69 = 56,649.42 : x
  2. Step 2: Convert to fraction form
    101,967.26/140,714.69 = 56,649.42/x
  3. Step 3: Cross multiply
    101,967.26x = 140,714.69 × 56,649.42
  4. Step 4: Simplify right side
    101,967.26x = 7,971,405,290.73
  5. Step 5: Solve for x
    x = 7,971,405,290.73/101,967.26
  6. Step 6: Final answer
    x = 78,176.13

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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.