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Finding the Fourth Proportional to 201,974.80, 302,962.20 and 68,810.80

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Solution

The fourth proportional to 201,974.80, 302,962.20 and 68,810.80 is: 103,216.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,974.80 : 302,962.20 = 68,810.80 : x
  2. Step 2: Convert to fraction form
    201,974.80/302,962.20 = 68,810.80/x
  3. Step 3: Cross multiply
    201,974.80x = 302,962.20 × 68,810.80
  4. Step 4: Simplify right side
    201,974.80x = 20,847,071,351.76
  5. Step 5: Solve for x
    x = 20,847,071,351.76/201,974.80
  6. Step 6: Final answer
    x = 103,216.20

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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.