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Finding the Fourth Proportional to 149,681.90, 206,555.87 and 89,221.36

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Solution

The fourth proportional to 149,681.90, 206,555.87 and 89,221.36 is: 123,122.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,681.90 : 206,555.87 = 89,221.36 : x
  2. Step 2: Convert to fraction form
    149,681.90/206,555.87 = 89,221.36/x
  3. Step 3: Cross multiply
    149,681.90x = 206,555.87 × 89,221.36
  4. Step 4: Simplify right side
    149,681.90x = 18,429,195,637.38
  5. Step 5: Solve for x
    x = 18,429,195,637.38/149,681.90
  6. Step 6: Final answer
    x = 123,122.41

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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.