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Finding the Fourth Proportional to 151,079.50, 208,494.30 and 83,092.96

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Solution

The fourth proportional to 151,079.50, 208,494.30 and 83,092.96 is: 114,670.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,079.50 : 208,494.30 = 83,092.96 : x
  2. Step 2: Convert to fraction form
    151,079.50/208,494.30 = 83,092.96/x
  3. Step 3: Cross multiply
    151,079.50x = 208,494.30 × 83,092.96
  4. Step 4: Simplify right side
    151,079.50x = 17,324,408,530.13
  5. Step 5: Solve for x
    x = 17,324,408,530.13/151,079.50
  6. Step 6: Final answer
    x = 114,670.81

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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.