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Finding the Fourth Proportional to 120,460, 166,234.80 and 67,468

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Solution

The fourth proportional to 120,460, 166,234.80 and 67,468 is: 93,105.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,460 : 166,234.80 = 67,468 : x
  2. Step 2: Convert to fraction form
    120,460/166,234.80 = 67,468/x
  3. Step 3: Cross multiply
    120,460x = 166,234.80 × 67,468
  4. Step 4: Simplify right side
    120,460x = 11,215,529,486.40
  5. Step 5: Solve for x
    x = 11,215,529,486.40/120,460
  6. Step 6: Final answer
    x = 93,105.84

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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.