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Finding the Fourth Proportional to 200,770.52, 301,156.32 and 67,744.22

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Solution

The fourth proportional to 200,770.52, 301,156.32 and 67,744.22 is: 101,616.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,770.52 : 301,156.32 = 67,744.22 : x
  2. Step 2: Convert to fraction form
    200,770.52/301,156.32 = 67,744.22/x
  3. Step 3: Cross multiply
    200,770.52x = 301,156.32 × 67,744.22
  4. Step 4: Simplify right side
    200,770.52x = 20,401,599,996.47
  5. Step 5: Solve for x
    x = 20,401,599,996.47/200,770.52
  6. Step 6: Final answer
    x = 101,616.51

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1.5x scale

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.