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Finding the Fourth Proportional to 225,535.20, 338,302.80 and 201,040.80

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Solution

The fourth proportional to 225,535.20, 338,302.80 and 201,040.80 is: 301,561.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,535.20 : 338,302.80 = 201,040.80 : x
  2. Step 2: Convert to fraction form
    225,535.20/338,302.80 = 201,040.80/x
  3. Step 3: Cross multiply
    225,535.20x = 338,302.80 × 201,040.80
  4. Step 4: Simplify right side
    225,535.20x = 68,012,665,554.24
  5. Step 5: Solve for x
    x = 68,012,665,554.24/225,535.20
  6. Step 6: Final answer
    x = 301,561.20

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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.