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Finding the Fourth Proportional to 200,591.82, 300,907.74 and 74,265.84

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Solution

The fourth proportional to 200,591.82, 300,907.74 and 74,265.84 is: 111,406.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,591.82 : 300,907.74 = 74,265.84 : x
  2. Step 2: Convert to fraction form
    200,591.82/300,907.74 = 74,265.84/x
  3. Step 3: Cross multiply
    200,591.82x = 300,907.74 × 74,265.84
  4. Step 4: Simplify right side
    200,591.82x = 22,347,166,073.60
  5. Step 5: Solve for x
    x = 22,347,166,073.60/200,591.82
  6. Step 6: Final answer
    x = 111,406.17

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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.