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Finding the Fourth Proportional to 201,906.10, 302,834.85 and 83,565.10

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Solution

The fourth proportional to 201,906.10, 302,834.85 and 83,565.10 is: 125,337.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,906.10 : 302,834.85 = 83,565.10 : x
  2. Step 2: Convert to fraction form
    201,906.10/302,834.85 = 83,565.10/x
  3. Step 3: Cross multiply
    201,906.10x = 302,834.85 × 83,565.10
  4. Step 4: Simplify right side
    201,906.10x = 25,306,424,523.74
  5. Step 5: Solve for x
    x = 25,306,424,523.74/201,906.10
  6. Step 6: Final answer
    x = 125,337.59

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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.