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Finding the Fourth Proportional to 222,014.40, 306,379.26 and 120,039.16

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Solution

The fourth proportional to 222,014.40, 306,379.26 and 120,039.16 is: 165,653.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,014.40 : 306,379.26 = 120,039.16 : x
  2. Step 2: Convert to fraction form
    222,014.40/306,379.26 = 120,039.16/x
  3. Step 3: Cross multiply
    222,014.40x = 306,379.26 × 120,039.16
  4. Step 4: Simplify right side
    222,014.40x = 36,777,509,011.82
  5. Step 5: Solve for x
    x = 36,777,509,011.82/222,014.40
  6. Step 6: Final answer
    x = 165,653.71

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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.