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Finding the Fourth Proportional to 86,112.85, 118,893.73 and 77,009.97

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Solution

The fourth proportional to 86,112.85, 118,893.73 and 77,009.97 is: 106,325.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,112.85 : 118,893.73 = 77,009.97 : x
  2. Step 2: Convert to fraction form
    86,112.85/118,893.73 = 77,009.97/x
  3. Step 3: Cross multiply
    86,112.85x = 118,893.73 × 77,009.97
  4. Step 4: Simplify right side
    86,112.85x = 9,156,002,537.90
  5. Step 5: Solve for x
    x = 9,156,002,537.90/86,112.85
  6. Step 6: Final answer
    x = 106,325.62

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Why These Related Problems?

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