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Finding the Fourth Proportional to 119,242.83, 164,471.79 and 101,213.44

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Solution

The fourth proportional to 119,242.83, 164,471.79 and 101,213.44 is: 139,603.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,242.83 : 164,471.79 = 101,213.44 : x
  2. Step 2: Convert to fraction form
    119,242.83/164,471.79 = 101,213.44/x
  3. Step 3: Cross multiply
    119,242.83x = 164,471.79 × 101,213.44
  4. Step 4: Simplify right side
    119,242.83x = 16,646,755,648.86
  5. Step 5: Solve for x
    x = 16,646,755,648.86/119,242.83
  6. Step 6: Final answer
    x = 139,603.83

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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.