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Finding the Fourth Proportional to 157,809.22, 217,776.38 and 86,189.25

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Solution

The fourth proportional to 157,809.22, 217,776.38 and 86,189.25 is: 118,940.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,809.22 : 217,776.38 = 86,189.25 : x
  2. Step 2: Convert to fraction form
    157,809.22/217,776.38 = 86,189.25/x
  3. Step 3: Cross multiply
    157,809.22x = 217,776.38 × 86,189.25
  4. Step 4: Simplify right side
    157,809.22x = 18,769,982,505.45
  5. Step 5: Solve for x
    x = 18,769,982,505.45/157,809.22
  6. Step 6: Final answer
    x = 118,940.97

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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.