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Finding the Fourth Proportional to 200,229.84, 300,362.16 and 75,571.92

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Solution

The fourth proportional to 200,229.84, 300,362.16 and 75,571.92 is: 113,364.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,229.84 : 300,362.16 = 75,571.92 : x
  2. Step 2: Convert to fraction form
    200,229.84/300,362.16 = 75,571.92/x
  3. Step 3: Cross multiply
    200,229.84x = 300,362.16 × 75,571.92
  4. Step 4: Simplify right side
    200,229.84x = 22,698,945,126.55
  5. Step 5: Solve for x
    x = 22,698,945,126.55/200,229.84
  6. Step 6: Final answer
    x = 113,364.45

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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.