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Finding the Fourth Proportional to 176,531.73, 264,648.24 and 76,616.34

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Solution

The fourth proportional to 176,531.73, 264,648.24 and 76,616.34 is: 114,859.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,531.73 : 264,648.24 = 76,616.34 : x
  2. Step 2: Convert to fraction form
    176,531.73/264,648.24 = 76,616.34/x
  3. Step 3: Cross multiply
    176,531.73x = 264,648.24 × 76,616.34
  4. Step 4: Simplify right side
    176,531.73x = 20,276,379,536.24
  5. Step 5: Solve for x
    x = 20,276,379,536.24/176,531.73
  6. Step 6: Final answer
    x = 114,859.69

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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.