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Finding the Fourth Proportional to 204,713.73, 282,497.76 and 114,065.01

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Solution

The fourth proportional to 204,713.73, 282,497.76 and 114,065.01 is: 157,405.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,713.73 : 282,497.76 = 114,065.01 : x
  2. Step 2: Convert to fraction form
    204,713.73/282,497.76 = 114,065.01/x
  3. Step 3: Cross multiply
    204,713.73x = 282,497.76 × 114,065.01
  4. Step 4: Simplify right side
    204,713.73x = 32,223,109,819.38
  5. Step 5: Solve for x
    x = 32,223,109,819.38/204,713.73
  6. Step 6: Final answer
    x = 157,405.71

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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.