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Finding the Fourth Proportional to 200,594.01, 300,776.16 and 82,200.75

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Solution

The fourth proportional to 200,594.01, 300,776.16 and 82,200.75 is: 123,254.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,594.01 : 300,776.16 = 82,200.75 : x
  2. Step 2: Convert to fraction form
    200,594.01/300,776.16 = 82,200.75/x
  3. Step 3: Cross multiply
    200,594.01x = 300,776.16 × 82,200.75
  4. Step 4: Simplify right side
    200,594.01x = 24,724,025,934.12
  5. Step 5: Solve for x
    x = 24,724,025,934.12/200,594.01
  6. Step 6: Final answer
    x = 123,254.06

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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.