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Finding the Fourth Proportional to 200,462.58, 300,697.92 and 74,037.66

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Solution

The fourth proportional to 200,462.58, 300,697.92 and 74,037.66 is: 111,057.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,462.58 : 300,697.92 = 74,037.66 : x
  2. Step 2: Convert to fraction form
    200,462.58/300,697.92 = 74,037.66/x
  3. Step 3: Cross multiply
    200,462.58x = 300,697.92 × 74,037.66
  4. Step 4: Simplify right side
    200,462.58x = 22,262,970,363.67
  5. Step 5: Solve for x
    x = 22,262,970,363.67/200,462.58
  6. Step 6: Final answer
    x = 111,057.99

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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.