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Finding the Fourth Proportional to 176,478.24, 264,721.14 and 51,819.24

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Solution

The fourth proportional to 176,478.24, 264,721.14 and 51,819.24 is: 77,729.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,478.24 : 264,721.14 = 51,819.24 : x
  2. Step 2: Convert to fraction form
    176,478.24/264,721.14 = 51,819.24/x
  3. Step 3: Cross multiply
    176,478.24x = 264,721.14 × 51,819.24
  4. Step 4: Simplify right side
    176,478.24x = 13,717,648,286.73
  5. Step 5: Solve for x
    x = 13,717,648,286.73/176,478.24
  6. Step 6: Final answer
    x = 77,729.97

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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.