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Finding the Fourth Proportional to 176,279.52, 264,194.64 and 82,578.72

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Solution

The fourth proportional to 176,279.52, 264,194.64 and 82,578.72 is: 123,762.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,279.52 : 264,194.64 = 82,578.72 : x
  2. Step 2: Convert to fraction form
    176,279.52/264,194.64 = 82,578.72/x
  3. Step 3: Cross multiply
    176,279.52x = 264,194.64 × 82,578.72
  4. Step 4: Simplify right side
    176,279.52x = 21,816,855,202.06
  5. Step 5: Solve for x
    x = 21,816,855,202.06/176,279.52
  6. Step 6: Final answer
    x = 123,762.85

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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.