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Finding the Fourth Proportional to 209,632.78, 289,295.31 and 120,191.50

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Solution

The fourth proportional to 209,632.78, 289,295.31 and 120,191.50 is: 165,865.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,632.78 : 289,295.31 = 120,191.50 : x
  2. Step 2: Convert to fraction form
    209,632.78/289,295.31 = 120,191.50/x
  3. Step 3: Cross multiply
    209,632.78x = 289,295.31 × 120,191.50
  4. Step 4: Simplify right side
    209,632.78x = 34,770,837,251.87
  5. Step 5: Solve for x
    x = 34,770,837,251.87/209,632.78
  6. Step 6: Final answer
    x = 165,865.46

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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.