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Finding the Fourth Proportional to 216,408.53, 326,089.94 and 177,829.85

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Solution

The fourth proportional to 216,408.53, 326,089.94 and 177,829.85 is: 267,958.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,408.53 : 326,089.94 = 177,829.85 : x
  2. Step 2: Convert to fraction form
    216,408.53/326,089.94 = 177,829.85/x
  3. Step 3: Cross multiply
    216,408.53x = 326,089.94 × 177,829.85
  4. Step 4: Simplify right side
    216,408.53x = 57,988,525,116.71
  5. Step 5: Solve for x
    x = 57,988,525,116.71/216,408.53
  6. Step 6: Final answer
    x = 267,958.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.