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Finding the Fourth Proportional to 216,127.20, 323,996.40 and 137,200.80

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Solution

The fourth proportional to 216,127.20, 323,996.40 and 137,200.80 is: 205,677.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,127.20 : 323,996.40 = 137,200.80 : x
  2. Step 2: Convert to fraction form
    216,127.20/323,996.40 = 137,200.80/x
  3. Step 3: Cross multiply
    216,127.20x = 323,996.40 × 137,200.80
  4. Step 4: Simplify right side
    216,127.20x = 44,452,565,277.12
  5. Step 5: Solve for x
    x = 44,452,565,277.12/216,127.20
  6. Step 6: Final answer
    x = 205,677.79

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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.