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Finding the Fourth Proportional to 149,943.80, 206,888.34 and 89,534

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Solution

The fourth proportional to 149,943.80, 206,888.34 and 89,534 is: 123,536.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,943.80 : 206,888.34 = 89,534 : x
  2. Step 2: Convert to fraction form
    149,943.80/206,888.34 = 89,534/x
  3. Step 3: Cross multiply
    149,943.80x = 206,888.34 × 89,534
  4. Step 4: Simplify right side
    149,943.80x = 18,523,540,633.56
  5. Step 5: Solve for x
    x = 18,523,540,633.56/149,943.80
  6. Step 6: Final answer
    x = 123,536.56

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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.