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Finding the Fourth Proportional to 217,408.51, 326,114.50 and 89,291.78

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Solution

The fourth proportional to 217,408.51, 326,114.50 and 89,291.78 is: 133,938.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,408.51 : 326,114.50 = 89,291.78 : x
  2. Step 2: Convert to fraction form
    217,408.51/326,114.50 = 89,291.78/x
  3. Step 3: Cross multiply
    217,408.51x = 326,114.50 × 89,291.78
  4. Step 4: Simplify right side
    217,408.51x = 29,119,344,188.81
  5. Step 5: Solve for x
    x = 29,119,344,188.81/217,408.51
  6. Step 6: Final answer
    x = 133,938.38

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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.