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Finding the Fourth Proportional to 209,387.60, 288,959.64 and 113,899.40

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Solution

The fourth proportional to 209,387.60, 288,959.64 and 113,899.40 is: 157,183.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,387.60 : 288,959.64 = 113,899.40 : x
  2. Step 2: Convert to fraction form
    209,387.60/288,959.64 = 113,899.40/x
  3. Step 3: Cross multiply
    209,387.60x = 288,959.64 × 113,899.40
  4. Step 4: Simplify right side
    209,387.60x = 32,912,329,620.22
  5. Step 5: Solve for x
    x = 32,912,329,620.22/209,387.60
  6. Step 6: Final answer
    x = 157,183.76

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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.