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Finding the Fourth Proportional to 201,732.70, 302,469.45 and 83,451.10

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Solution

The fourth proportional to 201,732.70, 302,469.45 and 83,451.10 is: 125,123.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,732.70 : 302,469.45 = 83,451.10 : x
  2. Step 2: Convert to fraction form
    201,732.70/302,469.45 = 83,451.10/x
  3. Step 3: Cross multiply
    201,732.70x = 302,469.45 × 83,451.10
  4. Step 4: Simplify right side
    201,732.70x = 25,241,408,318.90
  5. Step 5: Solve for x
    x = 25,241,408,318.90/201,732.70
  6. Step 6: Final answer
    x = 125,123.04

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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.