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Finding the Fourth Proportional to 200,660.04, 300,965.45 and 116,466

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Solution

The fourth proportional to 200,660.04, 300,965.45 and 116,466 is: 174,684.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,660.04 : 300,965.45 = 116,466 : x
  2. Step 2: Convert to fraction form
    200,660.04/300,965.45 = 116,466/x
  3. Step 3: Cross multiply
    200,660.04x = 300,965.45 × 116,466
  4. Step 4: Simplify right side
    200,660.04x = 35,052,241,517.37
  5. Step 5: Solve for x
    x = 35,052,241,517.37/200,660.04
  6. Step 6: Final answer
    x = 174,684.71

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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.