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Finding the Fourth Proportional to 105,234.60, 157,844.70 and 34,156.20

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Solution

The fourth proportional to 105,234.60, 157,844.70 and 34,156.20 is: 51,231.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,234.60 : 157,844.70 = 34,156.20 : x
  2. Step 2: Convert to fraction form
    105,234.60/157,844.70 = 34,156.20/x
  3. Step 3: Cross multiply
    105,234.60x = 157,844.70 × 34,156.20
  4. Step 4: Simplify right side
    105,234.60x = 5,391,375,142.14
  5. Step 5: Solve for x
    x = 5,391,375,142.14/105,234.60
  6. Step 6: Final answer
    x = 51,231.96

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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.