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Finding the Fourth Proportional to 209,165.75, 289,408.74 and 182,364.08

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Solution

The fourth proportional to 209,165.75, 289,408.74 and 182,364.08 is: 252,325.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,165.75 : 289,408.74 = 182,364.08 : x
  2. Step 2: Convert to fraction form
    209,165.75/289,408.74 = 182,364.08/x
  3. Step 3: Cross multiply
    209,165.75x = 289,408.74 × 182,364.08
  4. Step 4: Simplify right side
    209,165.75x = 52,777,758,614.06
  5. Step 5: Solve for x
    x = 52,777,758,614.06/209,165.75
  6. Step 6: Final answer
    x = 252,325.05

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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.