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Finding the Fourth Proportional to 157,764.66, 217,714.14 and 86,144.64

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Solution

The fourth proportional to 157,764.66, 217,714.14 and 86,144.64 is: 118,879.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,764.66 : 217,714.14 = 86,144.64 : x
  2. Step 2: Convert to fraction form
    157,764.66/217,714.14 = 86,144.64/x
  3. Step 3: Cross multiply
    157,764.66x = 217,714.14 × 86,144.64
  4. Step 4: Simplify right side
    157,764.66x = 18,754,906,213.21
  5. Step 5: Solve for x
    x = 18,754,906,213.21/157,764.66
  6. Step 6: Final answer
    x = 118,879.01

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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.