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Finding the Fourth Proportional to 200,465.60, 300,687.76 and 67,346.88

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Solution

The fourth proportional to 200,465.60, 300,687.76 and 67,346.88 is: 101,016.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,465.60 : 300,687.76 = 67,346.88 : x
  2. Step 2: Convert to fraction form
    200,465.60/300,687.76 = 67,346.88/x
  3. Step 3: Cross multiply
    200,465.60x = 300,687.76 × 67,346.88
  4. Step 4: Simplify right side
    200,465.60x = 20,250,382,490.19
  5. Step 5: Solve for x
    x = 20,250,382,490.19/200,465.60
  6. Step 6: Final answer
    x = 101,016.75

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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.