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Finding the Fourth Proportional to 209,202.90, 288,700.37 and 113,709.34

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Solution

The fourth proportional to 209,202.90, 288,700.37 and 113,709.34 is: 156,919.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,202.90 : 288,700.37 = 113,709.34 : x
  2. Step 2: Convert to fraction form
    209,202.90/288,700.37 = 113,709.34/x
  3. Step 3: Cross multiply
    209,202.90x = 288,700.37 × 113,709.34
  4. Step 4: Simplify right side
    209,202.90x = 32,827,928,530.46
  5. Step 5: Solve for x
    x = 32,827,928,530.46/209,202.90
  6. Step 6: Final answer
    x = 156,919.09

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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.