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Finding the Fourth Proportional to 200,242.87, 300,267.10 and 75,593.59

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Solution

The fourth proportional to 200,242.87, 300,267.10 and 75,593.59 is: 113,353.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,242.87 : 300,267.10 = 75,593.59 : x
  2. Step 2: Convert to fraction form
    200,242.87/300,267.10 = 75,593.59/x
  3. Step 3: Cross multiply
    200,242.87x = 300,267.10 × 75,593.59
  4. Step 4: Simplify right side
    200,242.87x = 22,698,268,047.89
  5. Step 5: Solve for x
    x = 22,698,268,047.89/200,242.87
  6. Step 6: Final answer
    x = 113,353.69

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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.