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Finding the Fourth Proportional to 200,589.82, 300,904.71 and 74,263.84

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Solution

The fourth proportional to 200,589.82, 300,904.71 and 74,263.84 is: 111,403.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,589.82 : 300,904.71 = 74,263.84 : x
  2. Step 2: Convert to fraction form
    200,589.82/300,904.71 = 74,263.84/x
  3. Step 3: Cross multiply
    200,589.82x = 300,904.71 × 74,263.84
  4. Step 4: Simplify right side
    200,589.82x = 22,346,339,238.69
  5. Step 5: Solve for x
    x = 22,346,339,238.69/200,589.82
  6. Step 6: Final answer
    x = 111,403.16

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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.