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Finding the Fourth Proportional to 120,463, 166,238.94 and 67,471

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Solution

The fourth proportional to 120,463, 166,238.94 and 67,471 is: 93,109.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,463 : 166,238.94 = 67,471 : x
  2. Step 2: Convert to fraction form
    120,463/166,238.94 = 67,471/x
  3. Step 3: Cross multiply
    120,463x = 166,238.94 × 67,471
  4. Step 4: Simplify right side
    120,463x = 11,216,307,520.74
  5. Step 5: Solve for x
    x = 11,216,307,520.74/120,463
  6. Step 6: Final answer
    x = 93,109.98

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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.