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Finding the Fourth Proportional to 292,016.09, 402,982.28 and 161,193.82

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Solution

The fourth proportional to 292,016.09, 402,982.28 and 161,193.82 is: 222,447.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,016.09 : 402,982.28 = 161,193.82 : x
  2. Step 2: Convert to fraction form
    292,016.09/402,982.28 = 161,193.82/x
  3. Step 3: Cross multiply
    292,016.09x = 402,982.28 × 161,193.82
  4. Step 4: Simplify right side
    292,016.09x = 64,958,251,695.07
  5. Step 5: Solve for x
    x = 64,958,251,695.07/292,016.09
  6. Step 6: Final answer
    x = 222,447.51

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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.