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Finding the Fourth Proportional to 200,524.30, 300,805.01 and 65,589.14

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Solution

The fourth proportional to 200,524.30, 300,805.01 and 65,589.14 is: 98,389.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,524.30 : 300,805.01 = 65,589.14 : x
  2. Step 2: Convert to fraction form
    200,524.30/300,805.01 = 65,589.14/x
  3. Step 3: Cross multiply
    200,524.30x = 300,805.01 × 65,589.14
  4. Step 4: Simplify right side
    200,524.30x = 19,729,540,409.57
  5. Step 5: Solve for x
    x = 19,729,540,409.57/200,524.30
  6. Step 6: Final answer
    x = 98,389.77

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1.5x scale

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.