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Finding the Fourth Proportional to 222,267.11, 306,729 and 120,292.70

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Solution

The fourth proportional to 222,267.11, 306,729 and 120,292.70 is: 166,004.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,267.11 : 306,729 = 120,292.70 : x
  2. Step 2: Convert to fraction form
    222,267.11/306,729 = 120,292.70/x
  3. Step 3: Cross multiply
    222,267.11x = 306,729 × 120,292.70
  4. Step 4: Simplify right side
    222,267.11x = 36,897,258,044.66
  5. Step 5: Solve for x
    x = 36,897,258,044.66/222,267.11
  6. Step 6: Final answer
    x = 166,004.13

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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.