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Finding the Fourth Proportional to 115,284, 159,091.92 and 64,983

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Solution

The fourth proportional to 115,284, 159,091.92 and 64,983 is: 89,676.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,284 : 159,091.92 = 64,983 : x
  2. Step 2: Convert to fraction form
    115,284/159,091.92 = 64,983/x
  3. Step 3: Cross multiply
    115,284x = 159,091.92 × 64,983
  4. Step 4: Simplify right side
    115,284x = 10,338,270,237.36
  5. Step 5: Solve for x
    x = 10,338,270,237.36/115,284
  6. Step 6: Final answer
    x = 89,676.54

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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.