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Finding the Fourth Proportional to 200,550.98, 300,820.29 and 82,133.13

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Solution

The fourth proportional to 200,550.98, 300,820.29 and 82,133.13 is: 123,197.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,550.98 : 300,820.29 = 82,133.13 : x
  2. Step 2: Convert to fraction form
    200,550.98/300,820.29 = 82,133.13/x
  3. Step 3: Cross multiply
    200,550.98x = 300,820.29 × 82,133.13
  4. Step 4: Simplify right side
    200,550.98x = 24,707,311,985.21
  5. Step 5: Solve for x
    x = 24,707,311,985.21/200,550.98
  6. Step 6: Final answer
    x = 123,197.16

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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.