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Finding the Fourth Proportional to 209,287.96, 288,809.43 and 113,794.74

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Solution

The fourth proportional to 209,287.96, 288,809.43 and 113,794.74 is: 157,032.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,287.96 : 288,809.43 = 113,794.74 : x
  2. Step 2: Convert to fraction form
    209,287.96/288,809.43 = 113,794.74/x
  3. Step 3: Cross multiply
    209,287.96x = 288,809.43 × 113,794.74
  4. Step 4: Simplify right side
    209,287.96x = 32,864,993,996.40
  5. Step 5: Solve for x
    x = 32,864,993,996.40/209,287.96
  6. Step 6: Final answer
    x = 157,032.42

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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.