Home / 204,424.80-282,109.68-113,782.56

Finding the Fourth Proportional to 204,424.80, 282,109.68 and 113,782.56

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Solution

The fourth proportional to 204,424.80, 282,109.68 and 113,782.56 is: 157,021.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,424.80 : 282,109.68 = 113,782.56 : x
  2. Step 2: Convert to fraction form
    204,424.80/282,109.68 = 113,782.56/x
  3. Step 3: Cross multiply
    204,424.80x = 282,109.68 × 113,782.56
  4. Step 4: Simplify right side
    204,424.80x = 32,099,161,591.18
  5. Step 5: Solve for x
    x = 32,099,161,591.18/204,424.80
  6. Step 6: Final answer
    x = 157,021.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.