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Finding the Fourth Proportional to 201,908.15, 302,862.23 and 96,672.95

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Solution

The fourth proportional to 201,908.15, 302,862.23 and 96,672.95 is: 145,009.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,908.15 : 302,862.23 = 96,672.95 : x
  2. Step 2: Convert to fraction form
    201,908.15/302,862.23 = 96,672.95/x
  3. Step 3: Cross multiply
    201,908.15x = 302,862.23 × 96,672.95
  4. Step 4: Simplify right side
    201,908.15x = 29,278,585,217.68
  5. Step 5: Solve for x
    x = 29,278,585,217.68/201,908.15
  6. Step 6: Final answer
    x = 145,009.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.