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Finding the Fourth Proportional to 204,967.73, 282,855.85 and 114,329.56

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Solution

The fourth proportional to 204,967.73, 282,855.85 and 114,329.56 is: 157,775.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,967.73 : 282,855.85 = 114,329.56 : x
  2. Step 2: Convert to fraction form
    204,967.73/282,855.85 = 114,329.56/x
  3. Step 3: Cross multiply
    204,967.73x = 282,855.85 × 114,329.56
  4. Step 4: Simplify right side
    204,967.73x = 32,338,784,873.93
  5. Step 5: Solve for x
    x = 32,338,784,873.93/204,967.73
  6. Step 6: Final answer
    x = 157,775.01

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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.