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Finding the Fourth Proportional to 209,289.90, 288,816.63 and 113,799

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Solution

The fourth proportional to 209,289.90, 288,816.63 and 113,799 is: 157,040.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,289.90 : 288,816.63 = 113,799 : x
  2. Step 2: Convert to fraction form
    209,289.90/288,816.63 = 113,799/x
  3. Step 3: Cross multiply
    209,289.90x = 288,816.63 × 113,799
  4. Step 4: Simplify right side
    209,289.90x = 32,867,043,677.37
  5. Step 5: Solve for x
    x = 32,867,043,677.37/209,289.90
  6. Step 6: Final answer
    x = 157,040.75

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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.