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Finding the Fourth Proportional to 204,089.20, 286,020.13 and 204,089.20

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Solution

The fourth proportional to 204,089.20, 286,020.13 and 204,089.20 is: 286,020.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,089.20 : 286,020.13 = 204,089.20 : x
  2. Step 2: Convert to fraction form
    204,089.20/286,020.13 = 204,089.20/x
  3. Step 3: Cross multiply
    204,089.20x = 286,020.13 × 204,089.20
  4. Step 4: Simplify right side
    204,089.20x = 58,373,619,515.60
  5. Step 5: Solve for x
    x = 58,373,619,515.60/204,089.20
  6. Step 6: Final answer
    x = 286,020.13

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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.