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Finding the Fourth Proportional to 193,422.20, 289,822.26 and 162,318.20

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Solution

The fourth proportional to 193,422.20, 289,822.26 and 162,318.20 is: 243,216.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,422.20 : 289,822.26 = 162,318.20 : x
  2. Step 2: Convert to fraction form
    193,422.20/289,822.26 = 162,318.20/x
  3. Step 3: Cross multiply
    193,422.20x = 289,822.26 × 162,318.20
  4. Step 4: Simplify right side
    193,422.20x = 47,043,427,563.13
  5. Step 5: Solve for x
    x = 47,043,427,563.13/193,422.20
  6. Step 6: Final answer
    x = 243,216.28

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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.