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Finding the Fourth Proportional to 149,703.56, 206,585.70 and 89,243

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Solution

The fourth proportional to 149,703.56, 206,585.70 and 89,243 is: 123,152.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,703.56 : 206,585.70 = 89,243 : x
  2. Step 2: Convert to fraction form
    149,703.56/206,585.70 = 89,243/x
  3. Step 3: Cross multiply
    149,703.56x = 206,585.70 × 89,243
  4. Step 4: Simplify right side
    149,703.56x = 18,436,327,625.10
  5. Step 5: Solve for x
    x = 18,436,327,625.10/149,703.56
  6. Step 6: Final answer
    x = 123,152.23

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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.