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Finding the Fourth Proportional to 200,109.16, 300,232.86 and 75,520.36

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Solution

The fourth proportional to 200,109.16, 300,232.86 and 75,520.36 is: 113,306.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,109.16 : 300,232.86 = 75,520.36 : x
  2. Step 2: Convert to fraction form
    200,109.16/300,232.86 = 75,520.36/x
  3. Step 3: Cross multiply
    200,109.16x = 300,232.86 × 75,520.36
  4. Step 4: Simplify right side
    200,109.16x = 22,673,693,671.03
  5. Step 5: Solve for x
    x = 22,673,693,671.03/200,109.16
  6. Step 6: Final answer
    x = 113,306.63

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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.