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Finding the Fourth Proportional to 209,286.28, 288,807.10 and 113,793.05

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Solution

The fourth proportional to 209,286.28, 288,807.10 and 113,793.05 is: 157,030.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,286.28 : 288,807.10 = 113,793.05 : x
  2. Step 2: Convert to fraction form
    209,286.28/288,807.10 = 113,793.05/x
  3. Step 3: Cross multiply
    209,286.28x = 288,807.10 × 113,793.05
  4. Step 4: Simplify right side
    209,286.28x = 32,864,239,326.62
  5. Step 5: Solve for x
    x = 32,864,239,326.62/209,286.28
  6. Step 6: Final answer
    x = 157,030.07

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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.