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Finding the Fourth Proportional to 164,729, 227,350.42 and 104,305.26

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Solution

The fourth proportional to 164,729, 227,350.42 and 104,305.26 is: 143,956.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,729 : 227,350.42 = 104,305.26 : x
  2. Step 2: Convert to fraction form
    164,729/227,350.42 = 104,305.26/x
  3. Step 3: Cross multiply
    164,729x = 227,350.42 × 104,305.26
  4. Step 4: Simplify right side
    164,729x = 23,713,844,669.21
  5. Step 5: Solve for x
    x = 23,713,844,669.21/164,729
  6. Step 6: Final answer
    x = 143,956.71

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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.