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Finding the Fourth Proportional to 217,205.10, 325,807.65 and 209,331.90

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Solution

The fourth proportional to 217,205.10, 325,807.65 and 209,331.90 is: 313,997.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,205.10 : 325,807.65 = 209,331.90 : x
  2. Step 2: Convert to fraction form
    217,205.10/325,807.65 = 209,331.90/x
  3. Step 3: Cross multiply
    217,205.10x = 325,807.65 × 209,331.90
  4. Step 4: Simplify right side
    217,205.10x = 68,201,934,409.04
  5. Step 5: Solve for x
    x = 68,201,934,409.04/217,205.10
  6. Step 6: Final answer
    x = 313,997.85

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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.