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Finding the Fourth Proportional to 172,163.84, 258,639.36 and 165,086.72

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Solution

The fourth proportional to 172,163.84, 258,639.36 and 165,086.72 is: 248,007.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,163.84 : 258,639.36 = 165,086.72 : x
  2. Step 2: Convert to fraction form
    172,163.84/258,639.36 = 165,086.72/x
  3. Step 3: Cross multiply
    172,163.84x = 258,639.36 × 165,086.72
  4. Step 4: Simplify right side
    172,163.84x = 42,697,923,605.30
  5. Step 5: Solve for x
    x = 42,697,923,605.30/172,163.84
  6. Step 6: Final answer
    x = 248,007.50

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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.