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Finding the Fourth Proportional to 200,203.38, 300,388.77 and 87,825.60

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Solution

The fourth proportional to 200,203.38, 300,388.77 and 87,825.60 is: 131,775.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,203.38 : 300,388.77 = 87,825.60 : x
  2. Step 2: Convert to fraction form
    200,203.38/300,388.77 = 87,825.60/x
  3. Step 3: Cross multiply
    200,203.38x = 300,388.77 × 87,825.60
  4. Step 4: Simplify right side
    200,203.38x = 26,381,823,958.51
  5. Step 5: Solve for x
    x = 26,381,823,958.51/200,203.38
  6. Step 6: Final answer
    x = 131,775.12

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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.