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Finding the Fourth Proportional to 204,567.97, 306,709.34 and 90,653.74

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Solution

The fourth proportional to 204,567.97, 306,709.34 and 90,653.74 is: 135,917.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,567.97 : 306,709.34 = 90,653.74 : x
  2. Step 2: Convert to fraction form
    204,567.97/306,709.34 = 90,653.74/x
  3. Step 3: Cross multiply
    204,567.97x = 306,709.34 × 90,653.74
  4. Step 4: Simplify right side
    204,567.97x = 27,804,348,763.93
  5. Step 5: Solve for x
    x = 27,804,348,763.93/204,567.97
  6. Step 6: Final answer
    x = 135,917.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.