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Finding the Fourth Proportional to 216,408.16, 324,524.40 and 76,133.92

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Solution

The fourth proportional to 216,408.16, 324,524.40 and 76,133.92 is: 114,169.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,408.16 : 324,524.40 = 76,133.92 : x
  2. Step 2: Convert to fraction form
    216,408.16/324,524.40 = 76,133.92/x
  3. Step 3: Cross multiply
    216,408.16x = 324,524.40 × 76,133.92
  4. Step 4: Simplify right side
    216,408.16x = 24,707,314,707.65
  5. Step 5: Solve for x
    x = 24,707,314,707.65/216,408.16
  6. Step 6: Final answer
    x = 114,169.98

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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.