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Finding the Fourth Proportional to 149,633.42, 206,494.02 and 95,918.42

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Solution

The fourth proportional to 149,633.42, 206,494.02 and 95,918.42 is: 132,367.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,633.42 : 206,494.02 = 95,918.42 : x
  2. Step 2: Convert to fraction form
    149,633.42/206,494.02 = 95,918.42/x
  3. Step 3: Cross multiply
    149,633.42x = 206,494.02 × 95,918.42
  4. Step 4: Simplify right side
    149,633.42x = 19,806,580,137.85
  5. Step 5: Solve for x
    x = 19,806,580,137.85/149,633.42
  6. Step 6: Final answer
    x = 132,367.36

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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.