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Finding the Fourth Proportional to 120,605, 166,434.94 and 66,898.28

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Solution

The fourth proportional to 120,605, 166,434.94 and 66,898.28 is: 92,319.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,605 : 166,434.94 = 66,898.28 : x
  2. Step 2: Convert to fraction form
    120,605/166,434.94 = 66,898.28/x
  3. Step 3: Cross multiply
    120,605x = 166,434.94 × 66,898.28
  4. Step 4: Simplify right side
    120,605x = 11,134,211,217.90
  5. Step 5: Solve for x
    x = 11,134,211,217.90/120,605
  6. Step 6: Final answer
    x = 92,319.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.