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Finding the Fourth Proportional to 200,475.74, 300,758.50 and 67,352.38

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Solution

The fourth proportional to 200,475.74, 300,758.50 and 67,352.38 is: 101,043.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,475.74 : 300,758.50 = 67,352.38 : x
  2. Step 2: Convert to fraction form
    200,475.74/300,758.50 = 67,352.38/x
  3. Step 3: Cross multiply
    200,475.74x = 300,758.50 × 67,352.38
  4. Step 4: Simplify right side
    200,475.74x = 20,256,800,112.52
  5. Step 5: Solve for x
    x = 20,256,800,112.52/200,475.74
  6. Step 6: Final answer
    x = 101,043.65

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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.