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Finding the Fourth Proportional to 167,812, 231,580.52 and 92,360.48

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Solution

The fourth proportional to 167,812, 231,580.52 and 92,360.48 is: 127,457.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,812 : 231,580.52 = 92,360.48 : x
  2. Step 2: Convert to fraction form
    167,812/231,580.52 = 92,360.48/x
  3. Step 3: Cross multiply
    167,812x = 231,580.52 × 92,360.48
  4. Step 4: Simplify right side
    167,812x = 21,388,887,985.85
  5. Step 5: Solve for x
    x = 21,388,887,985.85/167,812
  6. Step 6: Final answer
    x = 127,457.44

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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.