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Finding the Fourth Proportional to 209,017.68, 288,447.84 and 113,524.48

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Solution

The fourth proportional to 209,017.68, 288,447.84 and 113,524.48 is: 156,665.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,017.68 : 288,447.84 = 113,524.48 : x
  2. Step 2: Convert to fraction form
    209,017.68/288,447.84 = 113,524.48/x
  3. Step 3: Cross multiply
    209,017.68x = 288,447.84 × 113,524.48
  4. Step 4: Simplify right side
    209,017.68x = 32,745,891,043.12
  5. Step 5: Solve for x
    x = 32,745,891,043.12/209,017.68
  6. Step 6: Final answer
    x = 156,665.65

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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.