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Finding the Fourth Proportional to 167,522, 231,180.36 and 92,070.50

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Solution

The fourth proportional to 167,522, 231,180.36 and 92,070.50 is: 127,057.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,522 : 231,180.36 = 92,070.50 : x
  2. Step 2: Convert to fraction form
    167,522/231,180.36 = 92,070.50/x
  3. Step 3: Cross multiply
    167,522x = 231,180.36 × 92,070.50
  4. Step 4: Simplify right side
    167,522x = 21,284,891,335.38
  5. Step 5: Solve for x
    x = 21,284,891,335.38/167,522
  6. Step 6: Final answer
    x = 127,057.29

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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.