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Finding the Fourth Proportional to 167,724, 231,459.12 and 92,270.88

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Solution

The fourth proportional to 167,724, 231,459.12 and 92,270.88 is: 127,333.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,724 : 231,459.12 = 92,270.88 : x
  2. Step 2: Convert to fraction form
    167,724/231,459.12 = 92,270.88/x
  3. Step 3: Cross multiply
    167,724x = 231,459.12 × 92,270.88
  4. Step 4: Simplify right side
    167,724x = 21,356,936,686.43
  5. Step 5: Solve for x
    x = 21,356,936,686.43/167,724
  6. Step 6: Final answer
    x = 127,333.81

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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.