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Finding the Fourth Proportional to 157,764.68, 217,714.12 and 86,144.64

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Solution

The fourth proportional to 157,764.68, 217,714.12 and 86,144.64 is: 118,878.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,764.68 : 217,714.12 = 86,144.64 : x
  2. Step 2: Convert to fraction form
    157,764.68/217,714.12 = 86,144.64/x
  3. Step 3: Cross multiply
    157,764.68x = 217,714.12 × 86,144.64
  4. Step 4: Simplify right side
    157,764.68x = 18,754,904,490.32
  5. Step 5: Solve for x
    x = 18,754,904,490.32/157,764.68
  6. Step 6: Final answer
    x = 118,878.98

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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.