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Finding the Fourth Proportional to 106,123.86, 146,471.76 and 60,832.20

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Solution

The fourth proportional to 106,123.86, 146,471.76 and 60,832.20 is: 83,960.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,123.86 : 146,471.76 = 60,832.20 : x
  2. Step 2: Convert to fraction form
    106,123.86/146,471.76 = 60,832.20/x
  3. Step 3: Cross multiply
    106,123.86x = 146,471.76 × 60,832.20
  4. Step 4: Simplify right side
    106,123.86x = 8,910,199,398.67
  5. Step 5: Solve for x
    x = 8,910,199,398.67/106,123.86
  6. Step 6: Final answer
    x = 83,960.38

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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.