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Finding the Fourth Proportional to 200,675.13, 301,057.07 and 67,551

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Solution

The fourth proportional to 200,675.13, 301,057.07 and 67,551 is: 101,341.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,675.13 : 301,057.07 = 67,551 : x
  2. Step 2: Convert to fraction form
    200,675.13/301,057.07 = 67,551/x
  3. Step 3: Cross multiply
    200,675.13x = 301,057.07 × 67,551
  4. Step 4: Simplify right side
    200,675.13x = 20,336,705,797.82
  5. Step 5: Solve for x
    x = 20,336,705,797.82/200,675.13
  6. Step 6: Final answer
    x = 101,341.44

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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.