Home / 204,922.48-282,794.26-114,284.20

Finding the Fourth Proportional to 204,922.48, 282,794.26 and 114,284.20

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Solution

The fourth proportional to 204,922.48, 282,794.26 and 114,284.20 is: 157,712.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,922.48 : 282,794.26 = 114,284.20 : x
  2. Step 2: Convert to fraction form
    204,922.48/282,794.26 = 114,284.20/x
  3. Step 3: Cross multiply
    204,922.48x = 282,794.26 × 114,284.20
  4. Step 4: Simplify right side
    204,922.48x = 32,318,915,768.69
  5. Step 5: Solve for x
    x = 32,318,915,768.69/204,922.48
  6. Step 6: Final answer
    x = 157,712.89

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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.