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Finding the Fourth Proportional to 164,441.12, 226,938.96 and 92,795

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Solution

The fourth proportional to 164,441.12, 226,938.96 and 92,795 is: 128,062.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,441.12 : 226,938.96 = 92,795 : x
  2. Step 2: Convert to fraction form
    164,441.12/226,938.96 = 92,795/x
  3. Step 3: Cross multiply
    164,441.12x = 226,938.96 × 92,795
  4. Step 4: Simplify right side
    164,441.12x = 21,058,800,793.20
  5. Step 5: Solve for x
    x = 21,058,800,793.20/164,441.12
  6. Step 6: Final answer
    x = 128,062.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.