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Finding the Fourth Proportional to 200,868.82, 301,320.74 and 65,892.42

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Solution

The fourth proportional to 200,868.82, 301,320.74 and 65,892.42 is: 98,844.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,868.82 : 301,320.74 = 65,892.42 : x
  2. Step 2: Convert to fraction form
    200,868.82/301,320.74 = 65,892.42/x
  3. Step 3: Cross multiply
    200,868.82x = 301,320.74 × 65,892.42
  4. Step 4: Simplify right side
    200,868.82x = 19,854,750,918.73
  5. Step 5: Solve for x
    x = 19,854,750,918.73/200,868.82
  6. Step 6: Final answer
    x = 98,844.37

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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.