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Finding the Fourth Proportional to 164,346.28, 226,744.86 and 129,781.33

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Solution

The fourth proportional to 164,346.28, 226,744.86 and 129,781.33 is: 179,056.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,346.28 : 226,744.86 = 129,781.33 : x
  2. Step 2: Convert to fraction form
    164,346.28/226,744.86 = 129,781.33/x
  3. Step 3: Cross multiply
    164,346.28x = 226,744.86 × 129,781.33
  4. Step 4: Simplify right side
    164,346.28x = 29,427,249,501.46
  5. Step 5: Solve for x
    x = 29,427,249,501.46/164,346.28
  6. Step 6: Final answer
    x = 179,056.38

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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.