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Finding the Fourth Proportional to 115,806.30, 159,481.06 and 99,542.31

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Solution

The fourth proportional to 115,806.30, 159,481.06 and 99,542.31 is: 137,083.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,806.30 : 159,481.06 = 99,542.31 : x
  2. Step 2: Convert to fraction form
    115,806.30/159,481.06 = 99,542.31/x
  3. Step 3: Cross multiply
    115,806.30x = 159,481.06 × 99,542.31
  4. Step 4: Simplify right side
    115,806.30x = 15,875,113,113.65
  5. Step 5: Solve for x
    x = 15,875,113,113.65/115,806.30
  6. Step 6: Final answer
    x = 137,083.33

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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.