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Finding the Fourth Proportional to 216,103.20, 323,960.40 and 137,176.80

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Solution

The fourth proportional to 216,103.20, 323,960.40 and 137,176.80 is: 205,641.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,103.20 : 323,960.40 = 137,176.80 : x
  2. Step 2: Convert to fraction form
    216,103.20/323,960.40 = 137,176.80/x
  3. Step 3: Cross multiply
    216,103.20x = 323,960.40 × 137,176.80
  4. Step 4: Simplify right side
    216,103.20x = 44,439,850,998.72
  5. Step 5: Solve for x
    x = 44,439,850,998.72/216,103.20
  6. Step 6: Final answer
    x = 205,641.80

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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.