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Finding the Fourth Proportional to 167,857.50, 251,810.84 and 49,513.44

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Solution

The fourth proportional to 167,857.50, 251,810.84 and 49,513.44 is: 74,277.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,857.50 : 251,810.84 = 49,513.44 : x
  2. Step 2: Convert to fraction form
    167,857.50/251,810.84 = 49,513.44/x
  3. Step 3: Cross multiply
    167,857.50x = 251,810.84 × 49,513.44
  4. Step 4: Simplify right side
    167,857.50x = 12,468,020,917.69
  5. Step 5: Solve for x
    x = 12,468,020,917.69/167,857.50
  6. Step 6: Final answer
    x = 74,277.41

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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.