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Finding the Fourth Proportional to 83,386.69, 115,091.01 and 76,661.66

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Solution

The fourth proportional to 83,386.69, 115,091.01 and 76,661.66 is: 105,809.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,386.69 : 115,091.01 = 76,661.66 : x
  2. Step 2: Convert to fraction form
    83,386.69/115,091.01 = 76,661.66/x
  3. Step 3: Cross multiply
    83,386.69x = 115,091.01 × 76,661.66
  4. Step 4: Simplify right side
    83,386.69x = 8,823,067,877.68
  5. Step 5: Solve for x
    x = 8,823,067,877.68/83,386.69
  6. Step 6: Final answer
    x = 105,809.07

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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.