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Finding the Fourth Proportional to 167,048.80, 250,561.68 and 78,322

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Solution

The fourth proportional to 167,048.80, 250,561.68 and 78,322 is: 117,477.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,048.80 : 250,561.68 = 78,322 : x
  2. Step 2: Convert to fraction form
    167,048.80/250,561.68 = 78,322/x
  3. Step 3: Cross multiply
    167,048.80x = 250,561.68 × 78,322
  4. Step 4: Simplify right side
    167,048.80x = 19,624,491,900.96
  5. Step 5: Solve for x
    x = 19,624,491,900.96/167,048.80
  6. Step 6: Final answer
    x = 117,477.60

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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.