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Finding the Fourth Proportional to 216,022.60, 324,033.90 and 137,225.80

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Solution

The fourth proportional to 216,022.60, 324,033.90 and 137,225.80 is: 205,838.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,022.60 : 324,033.90 = 137,225.80 : x
  2. Step 2: Convert to fraction form
    216,022.60/324,033.90 = 137,225.80/x
  3. Step 3: Cross multiply
    216,022.60x = 324,033.90 × 137,225.80
  4. Step 4: Simplify right side
    216,022.60x = 44,465,811,154.62
  5. Step 5: Solve for x
    x = 44,465,811,154.62/216,022.60
  6. Step 6: Final answer
    x = 205,838.70

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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.