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Finding the Fourth Proportional to 157,786.28, 217,743.62 and 86,166.08

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Solution

The fourth proportional to 157,786.28, 217,743.62 and 86,166.08 is: 118,908.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,786.28 : 217,743.62 = 86,166.08 : x
  2. Step 2: Convert to fraction form
    157,786.28/217,743.62 = 86,166.08/x
  3. Step 3: Cross multiply
    157,786.28x = 217,743.62 × 86,166.08
  4. Step 4: Simplify right side
    157,786.28x = 18,762,114,180.41
  5. Step 5: Solve for x
    x = 18,762,114,180.41/157,786.28
  6. Step 6: Final answer
    x = 118,908.40

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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.