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Finding the Fourth Proportional to 201,812.80, 302,719.20 and 61,553.20

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Solution

The fourth proportional to 201,812.80, 302,719.20 and 61,553.20 is: 92,329.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,812.80 : 302,719.20 = 61,553.20 : x
  2. Step 2: Convert to fraction form
    201,812.80/302,719.20 = 61,553.20/x
  3. Step 3: Cross multiply
    201,812.80x = 302,719.20 × 61,553.20
  4. Step 4: Simplify right side
    201,812.80x = 18,633,335,461.44
  5. Step 5: Solve for x
    x = 18,633,335,461.44/201,812.80
  6. Step 6: Final answer
    x = 92,329.80

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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.