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Finding the Fourth Proportional to 157,940.60, 217,954.79 and 86,321.13

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Solution

The fourth proportional to 157,940.60, 217,954.79 and 86,321.13 is: 119,121.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,940.60 : 217,954.79 = 86,321.13 : x
  2. Step 2: Convert to fraction form
    157,940.60/217,954.79 = 86,321.13/x
  3. Step 3: Cross multiply
    157,940.60x = 217,954.79 × 86,321.13
  4. Step 4: Simplify right side
    157,940.60x = 18,814,103,330.11
  5. Step 5: Solve for x
    x = 18,814,103,330.11/157,940.60
  6. Step 6: Final answer
    x = 119,121.39

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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.