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Finding the Fourth Proportional to 176,793.90, 264,960.45 and 82,013.10

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Solution

The fourth proportional to 176,793.90, 264,960.45 and 82,013.10 is: 122,912.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,793.90 : 264,960.45 = 82,013.10 : x
  2. Step 2: Convert to fraction form
    176,793.90/264,960.45 = 82,013.10/x
  3. Step 3: Cross multiply
    176,793.90x = 264,960.45 × 82,013.10
  4. Step 4: Simplify right side
    176,793.90x = 21,730,227,881.90
  5. Step 5: Solve for x
    x = 21,730,227,881.90/176,793.90
  6. Step 6: Final answer
    x = 122,912.77

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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.