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Finding the Fourth Proportional to 222,176.46, 306,602.67 and 120,201.59

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Solution

The fourth proportional to 222,176.46, 306,602.67 and 120,201.59 is: 165,877.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,176.46 : 306,602.67 = 120,201.59 : x
  2. Step 2: Convert to fraction form
    222,176.46/306,602.67 = 120,201.59/x
  3. Step 3: Cross multiply
    222,176.46x = 306,602.67 × 120,201.59
  4. Step 4: Simplify right side
    222,176.46x = 36,854,129,198.75
  5. Step 5: Solve for x
    x = 36,854,129,198.75/222,176.46
  6. Step 6: Final answer
    x = 165,877.74

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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.