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Finding the Fourth Proportional to 167,784.97, 231,543.72 and 92,333.47

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Solution

The fourth proportional to 167,784.97, 231,543.72 and 92,333.47 is: 127,420.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,784.97 : 231,543.72 = 92,333.47 : x
  2. Step 2: Convert to fraction form
    167,784.97/231,543.72 = 92,333.47/x
  3. Step 3: Cross multiply
    167,784.97x = 231,543.72 × 92,333.47
  4. Step 4: Simplify right side
    167,784.97x = 21,379,234,662.64
  5. Step 5: Solve for x
    x = 21,379,234,662.64/167,784.97
  6. Step 6: Final answer
    x = 127,420.44

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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.