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Finding the Fourth Proportional to 209,352.32, 288,812.94 and 139,517.31

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Solution

The fourth proportional to 209,352.32, 288,812.94 and 139,517.31 is: 192,471.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,352.32 : 288,812.94 = 139,517.31 : x
  2. Step 2: Convert to fraction form
    209,352.32/288,812.94 = 139,517.31/x
  3. Step 3: Cross multiply
    209,352.32x = 288,812.94 × 139,517.31
  4. Step 4: Simplify right side
    209,352.32x = 40,294,405,014.35
  5. Step 5: Solve for x
    x = 40,294,405,014.35/209,352.32
  6. Step 6: Final answer
    x = 192,471.74

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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.