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Finding the Fourth Proportional to 176,546.30, 264,932.85 and 97,717.10

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Solution

The fourth proportional to 176,546.30, 264,932.85 and 97,717.10 is: 146,638.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,546.30 : 264,932.85 = 97,717.10 : x
  2. Step 2: Convert to fraction form
    176,546.30/264,932.85 = 97,717.10/x
  3. Step 3: Cross multiply
    176,546.30x = 264,932.85 × 97,717.10
  4. Step 4: Simplify right side
    176,546.30x = 25,888,469,796.74
  5. Step 5: Solve for x
    x = 25,888,469,796.74/176,546.30
  6. Step 6: Final answer
    x = 146,638.42

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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.