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Finding the Fourth Proportional to 157,728.26, 217,668.31 and 86,111.30

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Solution

The fourth proportional to 157,728.26, 217,668.31 and 86,111.30 is: 118,835.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,728.26 : 217,668.31 = 86,111.30 : x
  2. Step 2: Convert to fraction form
    157,728.26/217,668.31 = 86,111.30/x
  3. Step 3: Cross multiply
    157,728.26x = 217,668.31 × 86,111.30
  4. Step 4: Simplify right side
    157,728.26x = 18,743,701,471.80
  5. Step 5: Solve for x
    x = 18,743,701,471.80/157,728.26
  6. Step 6: Final answer
    x = 118,835.40

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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.