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Finding the Fourth Proportional to 172,752.98, 258,544.22 and 106,235.24

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Solution

The fourth proportional to 172,752.98, 258,544.22 and 106,235.24 is: 158,992.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,752.98 : 258,544.22 = 106,235.24 : x
  2. Step 2: Convert to fraction form
    172,752.98/258,544.22 = 106,235.24/x
  3. Step 3: Cross multiply
    172,752.98x = 258,544.22 × 106,235.24
  4. Step 4: Simplify right side
    172,752.98x = 27,466,505,438.42
  5. Step 5: Solve for x
    x = 27,466,505,438.42/172,752.98
  6. Step 6: Final answer
    x = 158,992.95

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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.