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Finding the Fourth Proportional to 201,972.80, 302,959.20 and 68,808.80

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Solution

The fourth proportional to 201,972.80, 302,959.20 and 68,808.80 is: 103,213.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,972.80 : 302,959.20 = 68,808.80 : x
  2. Step 2: Convert to fraction form
    201,972.80/302,959.20 = 68,808.80/x
  3. Step 3: Cross multiply
    201,972.80x = 302,959.20 × 68,808.80
  4. Step 4: Simplify right side
    201,972.80x = 20,846,259,000.96
  5. Step 5: Solve for x
    x = 20,846,259,000.96/201,972.80
  6. Step 6: Final answer
    x = 103,213.20

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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.