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Finding the Fourth Proportional to 149,472.80, 206,266.32 and 95,682.08

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Solution

The fourth proportional to 149,472.80, 206,266.32 and 95,682.08 is: 132,037.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,472.80 : 206,266.32 = 95,682.08 : x
  2. Step 2: Convert to fraction form
    149,472.80/206,266.32 = 95,682.08/x
  3. Step 3: Cross multiply
    149,472.80x = 206,266.32 × 95,682.08
  4. Step 4: Simplify right side
    149,472.80x = 19,735,990,531.55
  5. Step 5: Solve for x
    x = 19,735,990,531.55/149,472.80
  6. Step 6: Final answer
    x = 132,037.34

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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.