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Finding the Fourth Proportional to 214,695.44, 296,288.96 and 119,202.13

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Solution

The fourth proportional to 214,695.44, 296,288.96 and 119,202.13 is: 164,504.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,695.44 : 296,288.96 = 119,202.13 : x
  2. Step 2: Convert to fraction form
    214,695.44/296,288.96 = 119,202.13/x
  3. Step 3: Cross multiply
    214,695.44x = 296,288.96 × 119,202.13
  4. Step 4: Simplify right side
    214,695.44x = 35,318,273,050.03
  5. Step 5: Solve for x
    x = 35,318,273,050.03/214,695.44
  6. Step 6: Final answer
    x = 164,504.07

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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.