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Finding the Fourth Proportional to 200,801.88, 301,023.84 and 76,230.36

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Solution

The fourth proportional to 200,801.88, 301,023.84 and 76,230.36 is: 114,277.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,801.88 : 301,023.84 = 76,230.36 : x
  2. Step 2: Convert to fraction form
    200,801.88/301,023.84 = 76,230.36/x
  3. Step 3: Cross multiply
    200,801.88x = 301,023.84 × 76,230.36
  4. Step 4: Simplify right side
    200,801.88x = 22,947,155,691.78
  5. Step 5: Solve for x
    x = 22,947,155,691.78/200,801.88
  6. Step 6: Final answer
    x = 114,277.59

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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.