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Finding the Fourth Proportional to 222,246.40, 306,697.44 and 120,269.50

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Solution

The fourth proportional to 222,246.40, 306,697.44 and 120,269.50 is: 165,970.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,246.40 : 306,697.44 = 120,269.50 : x
  2. Step 2: Convert to fraction form
    222,246.40/306,697.44 = 120,269.50/x
  3. Step 3: Cross multiply
    222,246.40x = 306,697.44 × 120,269.50
  4. Step 4: Simplify right side
    222,246.40x = 36,886,347,004.63
  5. Step 5: Solve for x
    x = 36,886,347,004.63/222,246.40
  6. Step 6: Final answer
    x = 165,970.51

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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.