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Finding the Fourth Proportional to 176,421.78, 264,662.10 and 81,746.82

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Solution

The fourth proportional to 176,421.78, 264,662.10 and 81,746.82 is: 122,633.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,421.78 : 264,662.10 = 81,746.82 : x
  2. Step 2: Convert to fraction form
    176,421.78/264,662.10 = 81,746.82/x
  3. Step 3: Cross multiply
    176,421.78x = 264,662.10 × 81,746.82
  4. Step 4: Simplify right side
    176,421.78x = 21,635,285,049.52
  5. Step 5: Solve for x
    x = 21,635,285,049.52/176,421.78
  6. Step 6: Final answer
    x = 122,633.87

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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.