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Finding the Fourth Proportional to 222,294.39, 306,766.23 and 120,319.83

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Solution

The fourth proportional to 222,294.39, 306,766.23 and 120,319.83 is: 166,041.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,294.39 : 306,766.23 = 120,319.83 : x
  2. Step 2: Convert to fraction form
    222,294.39/306,766.23 = 120,319.83/x
  3. Step 3: Cross multiply
    222,294.39x = 306,766.23 × 120,319.83
  4. Step 4: Simplify right side
    222,294.39x = 36,910,060,643.34
  5. Step 5: Solve for x
    x = 36,910,060,643.34/222,294.39
  6. Step 6: Final answer
    x = 166,041.35

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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.