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Finding the Fourth Proportional to 221,170.80, 331,970.04 and 209,182.80

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Solution

The fourth proportional to 221,170.80, 331,970.04 and 209,182.80 is: 313,976.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,170.80 : 331,970.04 = 209,182.80 : x
  2. Step 2: Convert to fraction form
    221,170.80/331,970.04 = 209,182.80/x
  3. Step 3: Cross multiply
    221,170.80x = 331,970.04 × 209,182.80
  4. Step 4: Simplify right side
    221,170.80x = 69,442,422,483.31
  5. Step 5: Solve for x
    x = 69,442,422,483.31/221,170.80
  6. Step 6: Final answer
    x = 313,976.45

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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.