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Finding the Fourth Proportional to 200,961.25, 301,469.51 and 74,590.76

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Solution

The fourth proportional to 200,961.25, 301,469.51 and 74,590.76 is: 111,896.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,961.25 : 301,469.51 = 74,590.76 : x
  2. Step 2: Convert to fraction form
    200,961.25/301,469.51 = 74,590.76/x
  3. Step 3: Cross multiply
    200,961.25x = 301,469.51 × 74,590.76
  4. Step 4: Simplify right side
    200,961.25x = 22,486,840,248.45
  5. Step 5: Solve for x
    x = 22,486,840,248.45/200,961.25
  6. Step 6: Final answer
    x = 111,896.40

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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.