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Finding the Fourth Proportional to 251,497.48, 347,064.78 and 142,622.38

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Solution

The fourth proportional to 251,497.48, 347,064.78 and 142,622.38 is: 196,817.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,497.48 : 347,064.78 = 142,622.38 : x
  2. Step 2: Convert to fraction form
    251,497.48/347,064.78 = 142,622.38/x
  3. Step 3: Cross multiply
    251,497.48x = 347,064.78 × 142,622.38
  4. Step 4: Simplify right side
    251,497.48x = 49,499,204,937.78
  5. Step 5: Solve for x
    x = 49,499,204,937.78/251,497.48
  6. Step 6: Final answer
    x = 196,817.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.