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Finding the Fourth Proportional to 167,406, 251,118.40 and 53,563.74

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Solution

The fourth proportional to 167,406, 251,118.40 and 53,563.74 is: 80,348.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,406 : 251,118.40 = 53,563.74 : x
  2. Step 2: Convert to fraction form
    167,406/251,118.40 = 53,563.74/x
  3. Step 3: Cross multiply
    167,406x = 251,118.40 × 53,563.74
  4. Step 4: Simplify right side
    167,406x = 13,450,840,686.82
  5. Step 5: Solve for x
    x = 13,450,840,686.82/167,406
  6. Step 6: Final answer
    x = 80,348.62

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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.