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Finding the Fourth Proportional to 120,897.97, 166,834.14 and 67,182.50

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Solution

The fourth proportional to 120,897.97, 166,834.14 and 67,182.50 is: 92,709.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,897.97 : 166,834.14 = 67,182.50 : x
  2. Step 2: Convert to fraction form
    120,897.97/166,834.14 = 67,182.50/x
  3. Step 3: Cross multiply
    120,897.97x = 166,834.14 × 67,182.50
  4. Step 4: Simplify right side
    120,897.97x = 11,208,334,610.55
  5. Step 5: Solve for x
    x = 11,208,334,610.55/120,897.97
  6. Step 6: Final answer
    x = 92,709.04

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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.