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Finding the Fourth Proportional to 209,464.57, 289,066.28 and 113,976.51

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Solution

The fourth proportional to 209,464.57, 289,066.28 and 113,976.51 is: 157,290.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,464.57 : 289,066.28 = 113,976.51 : x
  2. Step 2: Convert to fraction form
    209,464.57/289,066.28 = 113,976.51/x
  3. Step 3: Cross multiply
    209,464.57x = 289,066.28 × 113,976.51
  4. Step 4: Simplify right side
    209,464.57x = 32,946,765,753.08
  5. Step 5: Solve for x
    x = 32,946,765,753.08/209,464.57
  6. Step 6: Final answer
    x = 157,290.40

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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.