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Finding the Fourth Proportional to 176,227.98, 264,604.40 and 71,251.98

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Solution

The fourth proportional to 176,227.98, 264,604.40 and 71,251.98 is: 106,984.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,227.98 : 264,604.40 = 71,251.98 : x
  2. Step 2: Convert to fraction form
    176,227.98/264,604.40 = 71,251.98/x
  3. Step 3: Cross multiply
    176,227.98x = 264,604.40 × 71,251.98
  4. Step 4: Simplify right side
    176,227.98x = 18,853,587,416.71
  5. Step 5: Solve for x
    x = 18,853,587,416.71/176,227.98
  6. Step 6: Final answer
    x = 106,984.07

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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.