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Finding the Fourth Proportional to 201,470.30, 302,279.85 and 83,151.90

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Solution

The fourth proportional to 201,470.30, 302,279.85 and 83,151.90 is: 124,758.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,470.30 : 302,279.85 = 83,151.90 : x
  2. Step 2: Convert to fraction form
    201,470.30/302,279.85 = 83,151.90/x
  3. Step 3: Cross multiply
    201,470.30x = 302,279.85 × 83,151.90
  4. Step 4: Simplify right side
    201,470.30x = 25,135,143,859.22
  5. Step 5: Solve for x
    x = 25,135,143,859.22/201,470.30
  6. Step 6: Final answer
    x = 124,758.56

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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.