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Finding the Fourth Proportional to 201,634.46, 302,240.69 and 75,223.84

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Solution

The fourth proportional to 201,634.46, 302,240.69 and 75,223.84 is: 112,757.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,634.46 : 302,240.69 = 75,223.84 : x
  2. Step 2: Convert to fraction form
    201,634.46/302,240.69 = 75,223.84/x
  3. Step 3: Cross multiply
    201,634.46x = 302,240.69 × 75,223.84
  4. Step 4: Simplify right side
    201,634.46x = 22,735,705,306.05
  5. Step 5: Solve for x
    x = 22,735,705,306.05/201,634.46
  6. Step 6: Final answer
    x = 112,757.04

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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.