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Finding the Fourth Proportional to 205,637.75, 283,778.13 and 114,992.67

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Solution

The fourth proportional to 205,637.75, 283,778.13 and 114,992.67 is: 158,688.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,637.75 : 283,778.13 = 114,992.67 : x
  2. Step 2: Convert to fraction form
    205,637.75/283,778.13 = 114,992.67/x
  3. Step 3: Cross multiply
    205,637.75x = 283,778.13 × 114,992.67
  4. Step 4: Simplify right side
    205,637.75x = 32,632,404,856.31
  5. Step 5: Solve for x
    x = 32,632,404,856.31/205,637.75
  6. Step 6: Final answer
    x = 158,688.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.