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Finding the Fourth Proportional to 222,266.35, 306,726.97 and 120,292.02

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Solution

The fourth proportional to 222,266.35, 306,726.97 and 120,292.02 is: 166,002.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,266.35 : 306,726.97 = 120,292.02 : x
  2. Step 2: Convert to fraction form
    222,266.35/306,726.97 = 120,292.02/x
  3. Step 3: Cross multiply
    222,266.35x = 306,726.97 × 120,292.02
  4. Step 4: Simplify right side
    222,266.35x = 36,896,806,809.78
  5. Step 5: Solve for x
    x = 36,896,806,809.78/222,266.35
  6. Step 6: Final answer
    x = 166,002.67

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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.