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Finding the Fourth Proportional to 164,041, 226,311.78 and 103,589.08

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Solution

The fourth proportional to 164,041, 226,311.78 and 103,589.08 is: 142,912.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,041 : 226,311.78 = 103,589.08 : x
  2. Step 2: Convert to fraction form
    164,041/226,311.78 = 103,589.08/x
  3. Step 3: Cross multiply
    164,041x = 226,311.78 × 103,589.08
  4. Step 4: Simplify right side
    164,041x = 23,443,429,083.36
  5. Step 5: Solve for x
    x = 23,443,429,083.36/164,041
  6. Step 6: Final answer
    x = 142,912.01

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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.