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Finding the Fourth Proportional to 205,827.96, 308,738.58 and 65,584.68

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Solution

The fourth proportional to 205,827.96, 308,738.58 and 65,584.68 is: 98,375.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,827.96 : 308,738.58 = 65,584.68 : x
  2. Step 2: Convert to fraction form
    205,827.96/308,738.58 = 65,584.68/x
  3. Step 3: Cross multiply
    205,827.96x = 308,738.58 × 65,584.68
  4. Step 4: Simplify right side
    205,827.96x = 20,248,520,972.95
  5. Step 5: Solve for x
    x = 20,248,520,972.95/205,827.96
  6. Step 6: Final answer
    x = 98,375.95

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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.