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Finding the Fourth Proportional to 201,924.80, 302,887.20 and 61,665.20

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Solution

The fourth proportional to 201,924.80, 302,887.20 and 61,665.20 is: 92,497.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,924.80 : 302,887.20 = 61,665.20 : x
  2. Step 2: Convert to fraction form
    201,924.80/302,887.20 = 61,665.20/x
  3. Step 3: Cross multiply
    201,924.80x = 302,887.20 × 61,665.20
  4. Step 4: Simplify right side
    201,924.80x = 18,677,599,765.44
  5. Step 5: Solve for x
    x = 18,677,599,765.44/201,924.80
  6. Step 6: Final answer
    x = 92,497.80

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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.