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Finding the Fourth Proportional to 176,222.97, 264,596.90 and 71,246.97

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Solution

The fourth proportional to 176,222.97, 264,596.90 and 71,246.97 is: 106,976.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,222.97 : 264,596.90 = 71,246.97 : x
  2. Step 2: Convert to fraction form
    176,222.97/264,596.90 = 71,246.97/x
  3. Step 3: Cross multiply
    176,222.97x = 264,596.90 × 71,246.97
  4. Step 4: Simplify right side
    176,222.97x = 18,851,727,040.16
  5. Step 5: Solve for x
    x = 18,851,727,040.16/176,222.97
  6. Step 6: Final answer
    x = 106,976.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.