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Finding the Fourth Proportional to 205,809.90, 308,520.45 and 121,634.70

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Solution

The fourth proportional to 205,809.90, 308,520.45 and 121,634.70 is: 182,337.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,809.90 : 308,520.45 = 121,634.70 : x
  2. Step 2: Convert to fraction form
    205,809.90/308,520.45 = 121,634.70/x
  3. Step 3: Cross multiply
    205,809.90x = 308,520.45 × 121,634.70
  4. Step 4: Simplify right side
    205,809.90x = 37,526,792,379.62
  5. Step 5: Solve for x
    x = 37,526,792,379.62/205,809.90
  6. Step 6: Final answer
    x = 182,337.16

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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.