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Finding the Fourth Proportional to 275,985.34, 414,138.64 and 116,049.70

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Solution

The fourth proportional to 275,985.34, 414,138.64 and 116,049.70 is: 174,142.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,985.34 : 414,138.64 = 116,049.70 : x
  2. Step 2: Convert to fraction form
    275,985.34/414,138.64 = 116,049.70/x
  3. Step 3: Cross multiply
    275,985.34x = 414,138.64 × 116,049.70
  4. Step 4: Simplify right side
    275,985.34x = 48,060,664,930.41
  5. Step 5: Solve for x
    x = 48,060,664,930.41/275,985.34
  6. Step 6: Final answer
    x = 174,142.09

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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.