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Finding the Fourth Proportional to 167,768, 231,521.44 and 92,318.16

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Solution

The fourth proportional to 167,768, 231,521.44 and 92,318.16 is: 127,399.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,768 : 231,521.44 = 92,318.16 : x
  2. Step 2: Convert to fraction form
    167,768/231,521.44 = 92,318.16/x
  3. Step 3: Cross multiply
    167,768x = 231,521.44 × 92,318.16
  4. Step 4: Simplify right side
    167,768x = 21,373,633,341.35
  5. Step 5: Solve for x
    x = 21,373,633,341.35/167,768
  6. Step 6: Final answer
    x = 127,399.94

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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.