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Finding the Fourth Proportional to 200,962.54, 301,451.10 and 67,847.14

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Solution

The fourth proportional to 200,962.54, 301,451.10 and 67,847.14 is: 101,773.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,962.54 : 301,451.10 = 67,847.14 : x
  2. Step 2: Convert to fraction form
    200,962.54/301,451.10 = 67,847.14/x
  3. Step 3: Cross multiply
    200,962.54x = 301,451.10 × 67,847.14
  4. Step 4: Simplify right side
    200,962.54x = 20,452,594,984.85
  5. Step 5: Solve for x
    x = 20,452,594,984.85/200,962.54
  6. Step 6: Final answer
    x = 101,773.17

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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.