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Finding the Fourth Proportional to 157,936.14, 217,951.34 and 86,316.14

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Solution

The fourth proportional to 157,936.14, 217,951.34 and 86,316.14 is: 119,115.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,936.14 : 217,951.34 = 86,316.14 : x
  2. Step 2: Convert to fraction form
    157,936.14/217,951.34 = 86,316.14/x
  3. Step 3: Cross multiply
    157,936.14x = 217,951.34 × 86,316.14
  4. Step 4: Simplify right side
    157,936.14x = 18,812,718,376.63
  5. Step 5: Solve for x
    x = 18,812,718,376.63/157,936.14
  6. Step 6: Final answer
    x = 119,115.98

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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.