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Finding the Fourth Proportional to 149,451.92, 206,233.34 and 84,050.53

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Solution

The fourth proportional to 149,451.92, 206,233.34 and 84,050.53 is: 115,983.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,451.92 : 206,233.34 = 84,050.53 : x
  2. Step 2: Convert to fraction form
    149,451.92/206,233.34 = 84,050.53/x
  3. Step 3: Cross multiply
    149,451.92x = 206,233.34 × 84,050.53
  4. Step 4: Simplify right side
    149,451.92x = 17,334,020,079.25
  5. Step 5: Solve for x
    x = 17,334,020,079.25/149,451.92
  6. Step 6: Final answer
    x = 115,983.92

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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.