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Finding the Fourth Proportional to 264,517.82, 365,092.72 and 173,882.16

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Solution

The fourth proportional to 264,517.82, 365,092.72 and 173,882.16 is: 239,995.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,517.82 : 365,092.72 = 173,882.16 : x
  2. Step 2: Convert to fraction form
    264,517.82/365,092.72 = 173,882.16/x
  3. Step 3: Cross multiply
    264,517.82x = 365,092.72 × 173,882.16
  4. Step 4: Simplify right side
    264,517.82x = 63,483,110,319.17
  5. Step 5: Solve for x
    x = 63,483,110,319.17/264,517.82
  6. Step 6: Final answer
    x = 239,995.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.