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Finding the Fourth Proportional to 119,710.70, 165,201.92 and 65,997.64

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Solution

The fourth proportional to 119,710.70, 165,201.92 and 65,997.64 is: 91,077.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,710.70 : 165,201.92 = 65,997.64 : x
  2. Step 2: Convert to fraction form
    119,710.70/165,201.92 = 65,997.64/x
  3. Step 3: Cross multiply
    119,710.70x = 165,201.92 × 65,997.64
  4. Step 4: Simplify right side
    119,710.70x = 10,902,936,990.82
  5. Step 5: Solve for x
    x = 10,902,936,990.82/119,710.70
  6. Step 6: Final answer
    x = 91,077.38

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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.