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Finding the Fourth Proportional to 101,796.98, 152,745.14 and 72,002.66

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Solution

The fourth proportional to 101,796.98, 152,745.14 and 72,002.66 is: 108,039.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,796.98 : 152,745.14 = 72,002.66 : x
  2. Step 2: Convert to fraction form
    101,796.98/152,745.14 = 72,002.66/x
  3. Step 3: Cross multiply
    101,796.98x = 152,745.14 × 72,002.66
  4. Step 4: Simplify right side
    101,796.98x = 10,998,055,798.35
  5. Step 5: Solve for x
    x = 10,998,055,798.35/101,796.98
  6. Step 6: Final answer
    x = 108,039.12

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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.