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Finding the Fourth Proportional to 200,505.37, 300,758.46 and 82,155.46

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Solution

The fourth proportional to 200,505.37, 300,758.46 and 82,155.46 is: 123,233.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,505.37 : 300,758.46 = 82,155.46 : x
  2. Step 2: Convert to fraction form
    200,505.37/300,758.46 = 82,155.46/x
  3. Step 3: Cross multiply
    200,505.37x = 300,758.46 × 82,155.46
  4. Step 4: Simplify right side
    200,505.37x = 24,708,949,630.19
  5. Step 5: Solve for x
    x = 24,708,949,630.19/200,505.37
  6. Step 6: Final answer
    x = 123,233.36

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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.