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Finding the Fourth Proportional to 213,954.28, 295,261.51 and 117,162.22

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Solution

The fourth proportional to 213,954.28, 295,261.51 and 117,162.22 is: 161,686.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,954.28 : 295,261.51 = 117,162.22 : x
  2. Step 2: Convert to fraction form
    213,954.28/295,261.51 = 117,162.22/x
  3. Step 3: Cross multiply
    213,954.28x = 295,261.51 × 117,162.22
  4. Step 4: Simplify right side
    213,954.28x = 34,593,493,992.15
  5. Step 5: Solve for x
    x = 34,593,493,992.15/213,954.28
  6. Step 6: Final answer
    x = 161,686.38

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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.