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Finding the Fourth Proportional to 120,714.71, 166,583.97 and 67,000.37

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Solution

The fourth proportional to 120,714.71, 166,583.97 and 67,000.37 is: 92,459.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,714.71 : 166,583.97 = 67,000.37 : x
  2. Step 2: Convert to fraction form
    120,714.71/166,583.97 = 67,000.37/x
  3. Step 3: Cross multiply
    120,714.71x = 166,583.97 × 67,000.37
  4. Step 4: Simplify right side
    120,714.71x = 11,161,186,793.15
  5. Step 5: Solve for x
    x = 11,161,186,793.15/120,714.71
  6. Step 6: Final answer
    x = 92,459.21

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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.