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Finding the Fourth Proportional to 200,753.34, 301,203.81 and 82,392.90

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Solution

The fourth proportional to 200,753.34, 301,203.81 and 82,392.90 is: 123,619.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,753.34 : 301,203.81 = 82,392.90 : x
  2. Step 2: Convert to fraction form
    200,753.34/301,203.81 = 82,392.90/x
  3. Step 3: Cross multiply
    200,753.34x = 301,203.81 × 82,392.90
  4. Step 4: Simplify right side
    200,753.34x = 24,817,055,396.95
  5. Step 5: Solve for x
    x = 24,817,055,396.95/200,753.34
  6. Step 6: Final answer
    x = 123,619.64

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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.