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Finding the Fourth Proportional to 164,402.29, 226,850.83 and 99,837.96

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Solution

The fourth proportional to 164,402.29, 226,850.83 and 99,837.96 is: 137,761.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,402.29 : 226,850.83 = 99,837.96 : x
  2. Step 2: Convert to fraction form
    164,402.29/226,850.83 = 99,837.96/x
  3. Step 3: Cross multiply
    164,402.29x = 226,850.83 × 99,837.96
  4. Step 4: Simplify right side
    164,402.29x = 22,648,324,091.51
  5. Step 5: Solve for x
    x = 22,648,324,091.51/164,402.29
  6. Step 6: Final answer
    x = 137,761.61

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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.