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Finding the Fourth Proportional to 209,282.40, 288,806.31 and 113,791.50

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Solution

The fourth proportional to 209,282.40, 288,806.31 and 113,791.50 is: 157,030.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,282.40 : 288,806.31 = 113,791.50 : x
  2. Step 2: Convert to fraction form
    209,282.40/288,806.31 = 113,791.50/x
  3. Step 3: Cross multiply
    209,282.40x = 288,806.31 × 113,791.50
  4. Step 4: Simplify right side
    209,282.40x = 32,863,703,224.37
  5. Step 5: Solve for x
    x = 32,863,703,224.37/209,282.40
  6. Step 6: Final answer
    x = 157,030.42

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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.