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Finding the Fourth Proportional to 217,408.64, 326,206.85 and 117,639.14

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Solution

The fourth proportional to 217,408.64, 326,206.85 and 117,639.14 is: 176,509.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,408.64 : 326,206.85 = 117,639.14 : x
  2. Step 2: Convert to fraction form
    217,408.64/326,206.85 = 117,639.14/x
  3. Step 3: Cross multiply
    217,408.64x = 326,206.85 × 117,639.14
  4. Step 4: Simplify right side
    217,408.64x = 38,374,691,076.88
  5. Step 5: Solve for x
    x = 38,374,691,076.88/217,408.64
  6. Step 6: Final answer
    x = 176,509.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.