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Finding the Fourth Proportional to 120,372.31, 180,490.94 and 82,464.40

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Solution

The fourth proportional to 120,372.31, 180,490.94 and 82,464.40 is: 123,650.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,372.31 : 180,490.94 = 82,464.40 : x
  2. Step 2: Convert to fraction form
    120,372.31/180,490.94 = 82,464.40/x
  3. Step 3: Cross multiply
    120,372.31x = 180,490.94 × 82,464.40
  4. Step 4: Simplify right side
    120,372.31x = 14,884,077,111.44
  5. Step 5: Solve for x
    x = 14,884,077,111.44/120,372.31
  6. Step 6: Final answer
    x = 123,650.34

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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.