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Finding the Fourth Proportional to 167,297.46, 250,985.70 and 54,978

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Solution

The fourth proportional to 167,297.46, 250,985.70 and 54,978 is: 82,479.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,297.46 : 250,985.70 = 54,978 : x
  2. Step 2: Convert to fraction form
    167,297.46/250,985.70 = 54,978/x
  3. Step 3: Cross multiply
    167,297.46x = 250,985.70 × 54,978
  4. Step 4: Simplify right side
    167,297.46x = 13,798,691,814.60
  5. Step 5: Solve for x
    x = 13,798,691,814.60/167,297.46
  6. Step 6: Final answer
    x = 82,479.98

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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.