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Finding the Fourth Proportional to 167,465.81, 231,102.82 and 92,014.31

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Solution

The fourth proportional to 167,465.81, 231,102.82 and 92,014.31 is: 126,979.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,465.81 : 231,102.82 = 92,014.31 : x
  2. Step 2: Convert to fraction form
    167,465.81/231,102.82 = 92,014.31/x
  3. Step 3: Cross multiply
    167,465.81x = 231,102.82 × 92,014.31
  4. Step 4: Simplify right side
    167,465.81x = 21,264,767,214.13
  5. Step 5: Solve for x
    x = 21,264,767,214.13/167,465.81
  6. Step 6: Final answer
    x = 126,979.75

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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.