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Finding the Fourth Proportional to 200,461.64, 300,727.20 and 67,354.88

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Solution

The fourth proportional to 200,461.64, 300,727.20 and 67,354.88 is: 101,043.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,461.64 : 300,727.20 = 67,354.88 : x
  2. Step 2: Convert to fraction form
    200,461.64/300,727.20 = 67,354.88/x
  3. Step 3: Cross multiply
    200,461.64x = 300,727.20 × 67,354.88
  4. Step 4: Simplify right side
    200,461.64x = 20,255,444,468.74
  5. Step 5: Solve for x
    x = 20,255,444,468.74/200,461.64
  6. Step 6: Final answer
    x = 101,043.99

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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.