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Finding the Fourth Proportional to 221,466.98, 305,620.17 and 120,865.70

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Solution

The fourth proportional to 221,466.98, 305,620.17 and 120,865.70 is: 166,792.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,466.98 : 305,620.17 = 120,865.70 : x
  2. Step 2: Convert to fraction form
    221,466.98/305,620.17 = 120,865.70/x
  3. Step 3: Cross multiply
    221,466.98x = 305,620.17 × 120,865.70
  4. Step 4: Simplify right side
    221,466.98x = 36,938,995,781.17
  5. Step 5: Solve for x
    x = 36,938,995,781.17/221,466.98
  6. Step 6: Final answer
    x = 166,792.34

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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.