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Finding the Fourth Proportional to 204,084.20, 286,013.13 and 204,084.20

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Solution

The fourth proportional to 204,084.20, 286,013.13 and 204,084.20 is: 286,013.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,084.20 : 286,013.13 = 204,084.20 : x
  2. Step 2: Convert to fraction form
    204,084.20/286,013.13 = 204,084.20/x
  3. Step 3: Cross multiply
    204,084.20x = 286,013.13 × 204,084.20
  4. Step 4: Simplify right side
    204,084.20x = 58,370,760,825.55
  5. Step 5: Solve for x
    x = 58,370,760,825.55/204,084.20
  6. Step 6: Final answer
    x = 286,013.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.