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Finding the Fourth Proportional to 222,149.37, 306,565.20 and 120,174.58

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Solution

The fourth proportional to 222,149.37, 306,565.20 and 120,174.58 is: 165,840.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,149.37 : 306,565.20 = 120,174.58 : x
  2. Step 2: Convert to fraction form
    222,149.37/306,565.20 = 120,174.58/x
  3. Step 3: Cross multiply
    222,149.37x = 306,565.20 × 120,174.58
  4. Step 4: Simplify right side
    222,149.37x = 36,841,343,070.44
  5. Step 5: Solve for x
    x = 36,841,343,070.44/222,149.37
  6. Step 6: Final answer
    x = 165,840.41

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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.