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Finding the Fourth Proportional to 206,584.20, 310,058.55 and 122,238.90

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Solution

The fourth proportional to 206,584.20, 310,058.55 and 122,238.90 is: 183,466.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,584.20 : 310,058.55 = 122,238.90 : x
  2. Step 2: Convert to fraction form
    206,584.20/310,058.55 = 122,238.90/x
  3. Step 3: Cross multiply
    206,584.20x = 310,058.55 × 122,238.90
  4. Step 4: Simplify right side
    206,584.20x = 37,901,216,087.60
  5. Step 5: Solve for x
    x = 37,901,216,087.60/206,584.20
  6. Step 6: Final answer
    x = 183,466.19

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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.