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Finding the Fourth Proportional to 149,319.53, 206,046 and 91,949.66

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Solution

The fourth proportional to 149,319.53, 206,046 and 91,949.66 is: 126,881.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,319.53 : 206,046 = 91,949.66 : x
  2. Step 2: Convert to fraction form
    149,319.53/206,046 = 91,949.66/x
  3. Step 3: Cross multiply
    149,319.53x = 206,046 × 91,949.66
  4. Step 4: Simplify right side
    149,319.53x = 18,945,858,614.13
  5. Step 5: Solve for x
    x = 18,945,858,614.13/149,319.53
  6. Step 6: Final answer
    x = 126,881.32

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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.