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Finding the Fourth Proportional to 167,083.34, 250,639.74 and 47,141.34

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Solution

The fourth proportional to 167,083.34, 250,639.74 and 47,141.34 is: 70,716.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,083.34 : 250,639.74 = 47,141.34 : x
  2. Step 2: Convert to fraction form
    167,083.34/250,639.74 = 47,141.34/x
  3. Step 3: Cross multiply
    167,083.34x = 250,639.74 × 47,141.34
  4. Step 4: Simplify right side
    167,083.34x = 11,815,491,947.65
  5. Step 5: Solve for x
    x = 11,815,491,947.65/167,083.34
  6. Step 6: Final answer
    x = 70,716.16

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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.