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Finding the Fourth Proportional to 167,081.92, 230,522.66 and 102,484.77

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Solution

The fourth proportional to 167,081.92, 230,522.66 and 102,484.77 is: 141,398.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,081.92 : 230,522.66 = 102,484.77 : x
  2. Step 2: Convert to fraction form
    167,081.92/230,522.66 = 102,484.77/x
  3. Step 3: Cross multiply
    167,081.92x = 230,522.66 × 102,484.77
  4. Step 4: Simplify right side
    167,081.92x = 23,625,061,789.89
  5. Step 5: Solve for x
    x = 23,625,061,789.89/167,081.92
  6. Step 6: Final answer
    x = 141,398.07

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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.