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Finding the Fourth Proportional to 101,107.98, 151,793.19 and 77,750.82

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Solution

The fourth proportional to 101,107.98, 151,793.19 and 77,750.82 is: 116,727.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,107.98 : 151,793.19 = 77,750.82 : x
  2. Step 2: Convert to fraction form
    101,107.98/151,793.19 = 77,750.82/x
  3. Step 3: Cross multiply
    101,107.98x = 151,793.19 × 77,750.82
  4. Step 4: Simplify right side
    101,107.98x = 11,802,044,992.92
  5. Step 5: Solve for x
    x = 11,802,044,992.92/101,107.98
  6. Step 6: Final answer
    x = 116,727.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.