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Finding the Fourth Proportional to 204,083.20, 286,011.73 and 204,083.20

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Solution

The fourth proportional to 204,083.20, 286,011.73 and 204,083.20 is: 286,011.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,083.20 : 286,011.73 = 204,083.20 : x
  2. Step 2: Convert to fraction form
    204,083.20/286,011.73 = 204,083.20/x
  3. Step 3: Cross multiply
    204,083.20x = 286,011.73 × 204,083.20
  4. Step 4: Simplify right side
    204,083.20x = 58,370,189,095.94
  5. Step 5: Solve for x
    x = 58,370,189,095.94/204,083.20
  6. Step 6: Final answer
    x = 286,011.73

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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.