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Finding the Fourth Proportional to 157,391.09, 217,193.38 and 85,769.58

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Solution

The fourth proportional to 157,391.09, 217,193.38 and 85,769.58 is: 118,358.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,391.09 : 217,193.38 = 85,769.58 : x
  2. Step 2: Convert to fraction form
    157,391.09/217,193.38 = 85,769.58/x
  3. Step 3: Cross multiply
    157,391.09x = 217,193.38 × 85,769.58
  4. Step 4: Simplify right side
    157,391.09x = 18,628,584,766.96
  5. Step 5: Solve for x
    x = 18,628,584,766.96/157,391.09
  6. Step 6: Final answer
    x = 118,358.58

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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.