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Finding the Fourth Proportional to 149,593.79, 206,438.44 and 85,063.03

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Solution

The fourth proportional to 149,593.79, 206,438.44 and 85,063.03 is: 117,386.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,593.79 : 206,438.44 = 85,063.03 : x
  2. Step 2: Convert to fraction form
    149,593.79/206,438.44 = 85,063.03/x
  3. Step 3: Cross multiply
    149,593.79x = 206,438.44 × 85,063.03
  4. Step 4: Simplify right side
    149,593.79x = 17,560,278,762.55
  5. Step 5: Solve for x
    x = 17,560,278,762.55/149,593.79
  6. Step 6: Final answer
    x = 117,386.42

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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.