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Finding the Fourth Proportional to 167,977, 251,965.50 and 69,481

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Solution

The fourth proportional to 167,977, 251,965.50 and 69,481 is: 104,221.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,977 : 251,965.50 = 69,481 : x
  2. Step 2: Convert to fraction form
    167,977/251,965.50 = 69,481/x
  3. Step 3: Cross multiply
    167,977x = 251,965.50 × 69,481
  4. Step 4: Simplify right side
    167,977x = 17,506,814,905.50
  5. Step 5: Solve for x
    x = 17,506,814,905.50/167,977
  6. Step 6: Final answer
    x = 104,221.50

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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.