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Finding the Fourth Proportional to 157,832.13, 217,808.10 and 86,212.17

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Solution

The fourth proportional to 157,832.13, 217,808.10 and 86,212.17 is: 118,972.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,832.13 : 217,808.10 = 86,212.17 : x
  2. Step 2: Convert to fraction form
    157,832.13/217,808.10 = 86,212.17/x
  3. Step 3: Cross multiply
    157,832.13x = 217,808.10 × 86,212.17
  4. Step 4: Simplify right side
    157,832.13x = 18,777,708,944.58
  5. Step 5: Solve for x
    x = 18,777,708,944.58/157,832.13
  6. Step 6: Final answer
    x = 118,972.66

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