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Finding the Fourth Proportional to 200,488.64, 300,851.28 and 74,217.52

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Solution

The fourth proportional to 200,488.64, 300,851.28 and 74,217.52 is: 111,370.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,488.64 : 300,851.28 = 74,217.52 : x
  2. Step 2: Convert to fraction form
    200,488.64/300,851.28 = 74,217.52/x
  3. Step 3: Cross multiply
    200,488.64x = 300,851.28 × 74,217.52
  4. Step 4: Simplify right side
    200,488.64x = 22,328,435,890.43
  5. Step 5: Solve for x
    x = 22,328,435,890.43/200,488.64
  6. Step 6: Final answer
    x = 111,370.08

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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.