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Finding the Fourth Proportional to 149,491.11, 206,302.68 and 89,053.50

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Solution

The fourth proportional to 149,491.11, 206,302.68 and 89,053.50 is: 122,896.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,491.11 : 206,302.68 = 89,053.50 : x
  2. Step 2: Convert to fraction form
    149,491.11/206,302.68 = 89,053.50/x
  3. Step 3: Cross multiply
    149,491.11x = 206,302.68 × 89,053.50
  4. Step 4: Simplify right side
    149,491.11x = 18,371,975,713.38
  5. Step 5: Solve for x
    x = 18,371,975,713.38/149,491.11
  6. Step 6: Final answer
    x = 122,896.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.