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Finding the Fourth Proportional to 200,962.25, 301,471.01 and 74,591.76

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Solution

The fourth proportional to 200,962.25, 301,471.01 and 74,591.76 is: 111,897.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,962.25 : 301,471.01 = 74,591.76 : x
  2. Step 2: Convert to fraction form
    200,962.25/301,471.01 = 74,591.76/x
  3. Step 3: Cross multiply
    200,962.25x = 301,471.01 × 74,591.76
  4. Step 4: Simplify right side
    200,962.25x = 22,487,253,224.88
  5. Step 5: Solve for x
    x = 22,487,253,224.88/200,962.25
  6. Step 6: Final answer
    x = 111,897.90

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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.