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Finding the Fourth Proportional to 201,766.20, 302,649.30 and 54,022.20

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Solution

The fourth proportional to 201,766.20, 302,649.30 and 54,022.20 is: 81,033.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,766.20 : 302,649.30 = 54,022.20 : x
  2. Step 2: Convert to fraction form
    201,766.20/302,649.30 = 54,022.20/x
  3. Step 3: Cross multiply
    201,766.20x = 302,649.30 × 54,022.20
  4. Step 4: Simplify right side
    201,766.20x = 16,349,781,014.46
  5. Step 5: Solve for x
    x = 16,349,781,014.46/201,766.20
  6. Step 6: Final answer
    x = 81,033.30

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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.