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Finding the Fourth Proportional to 160,999.70, 241,305.15 and 82,073.30

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Solution

The fourth proportional to 160,999.70, 241,305.15 and 82,073.30 is: 123,010.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,999.70 : 241,305.15 = 82,073.30 : x
  2. Step 2: Convert to fraction form
    160,999.70/241,305.15 = 82,073.30/x
  3. Step 3: Cross multiply
    160,999.70x = 241,305.15 × 82,073.30
  4. Step 4: Simplify right side
    160,999.70x = 19,804,709,967.50
  5. Step 5: Solve for x
    x = 19,804,709,967.50/160,999.70
  6. Step 6: Final answer
    x = 123,010.85

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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.