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Finding the Fourth Proportional to 200,914.14, 301,361.34 and 74,578.98

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Solution

The fourth proportional to 200,914.14, 301,361.34 and 74,578.98 is: 111,864.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,914.14 : 301,361.34 = 74,578.98 : x
  2. Step 2: Convert to fraction form
    200,914.14/301,361.34 = 74,578.98/x
  3. Step 3: Cross multiply
    200,914.14x = 301,361.34 × 74,578.98
  4. Step 4: Simplify right side
    200,914.14x = 22,475,221,348.63
  5. Step 5: Solve for x
    x = 22,475,221,348.63/200,914.14
  6. Step 6: Final answer
    x = 111,864.81

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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.