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Finding the Fourth Proportional to 206,801.50, 310,233.76 and 105,544.26

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Solution

The fourth proportional to 206,801.50, 310,233.76 and 105,544.26 is: 158,332.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,801.50 : 310,233.76 = 105,544.26 : x
  2. Step 2: Convert to fraction form
    206,801.50/310,233.76 = 105,544.26/x
  3. Step 3: Cross multiply
    206,801.50x = 310,233.76 × 105,544.26
  4. Step 4: Simplify right side
    206,801.50x = 32,743,391,198.98
  5. Step 5: Solve for x
    x = 32,743,391,198.98/206,801.50
  6. Step 6: Final answer
    x = 158,332.46

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