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Finding the Fourth Proportional to 167,605.84, 251,408.68 and 49,278.16

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Solution

The fourth proportional to 167,605.84, 251,408.68 and 49,278.16 is: 73,917.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,605.84 : 251,408.68 = 49,278.16 : x
  2. Step 2: Convert to fraction form
    167,605.84/251,408.68 = 49,278.16/x
  3. Step 3: Cross multiply
    167,605.84x = 251,408.68 × 49,278.16
  4. Step 4: Simplify right side
    167,605.84x = 12,388,957,158.43
  5. Step 5: Solve for x
    x = 12,388,957,158.43/167,605.84
  6. Step 6: Final answer
    x = 73,917.22

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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.