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Finding the Fourth Proportional to 157,906.30, 217,911.24 and 86,286.32

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Solution

The fourth proportional to 157,906.30, 217,911.24 and 86,286.32 is: 119,075.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,906.30 : 217,911.24 = 86,286.32 : x
  2. Step 2: Convert to fraction form
    157,906.30/217,911.24 = 86,286.32/x
  3. Step 3: Cross multiply
    157,906.30x = 217,911.24 × 86,286.32
  4. Step 4: Simplify right side
    157,906.30x = 18,802,758,986.24
  5. Step 5: Solve for x
    x = 18,802,758,986.24/157,906.30
  6. Step 6: Final answer
    x = 119,075.42

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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.