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Finding the Fourth Proportional to 176,549.91, 264,718.25 and 71,245.86

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Solution

The fourth proportional to 176,549.91, 264,718.25 and 71,245.86 is: 106,825.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,549.91 : 264,718.25 = 71,245.86 : x
  2. Step 2: Convert to fraction form
    176,549.91/264,718.25 = 71,245.86/x
  3. Step 3: Cross multiply
    176,549.91x = 264,718.25 × 71,245.86
  4. Step 4: Simplify right side
    176,549.91x = 18,860,079,022.72
  5. Step 5: Solve for x
    x = 18,860,079,022.72/176,549.91
  6. Step 6: Final answer
    x = 106,825.76

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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.