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Finding the Fourth Proportional to 216,128.70, 323,998.65 and 137,202.30

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Solution

The fourth proportional to 216,128.70, 323,998.65 and 137,202.30 is: 205,680.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,128.70 : 323,998.65 = 137,202.30 : x
  2. Step 2: Convert to fraction form
    216,128.70/323,998.65 = 137,202.30/x
  3. Step 3: Cross multiply
    216,128.70x = 323,998.65 × 137,202.30
  4. Step 4: Simplify right side
    216,128.70x = 44,453,359,976.90
  5. Step 5: Solve for x
    x = 44,453,359,976.90/216,128.70
  6. Step 6: Final answer
    x = 205,680.04

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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.