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Finding the Fourth Proportional to 209,083.79, 288,534.87 and 113,589.65

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Solution

The fourth proportional to 209,083.79, 288,534.87 and 113,589.65 is: 156,753.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,083.79 : 288,534.87 = 113,589.65 : x
  2. Step 2: Convert to fraction form
    209,083.79/288,534.87 = 113,589.65/x
  3. Step 3: Cross multiply
    209,083.79x = 288,534.87 × 113,589.65
  4. Step 4: Simplify right side
    209,083.79x = 32,774,573,453.42
  5. Step 5: Solve for x
    x = 32,774,573,453.42/209,083.79
  6. Step 6: Final answer
    x = 156,753.30

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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.