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Finding the Fourth Proportional to 214,506.36, 296,032.68 and 119,023.56

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Solution

The fourth proportional to 214,506.36, 296,032.68 and 119,023.56 is: 164,260.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,506.36 : 296,032.68 = 119,023.56 : x
  2. Step 2: Convert to fraction form
    214,506.36/296,032.68 = 119,023.56/x
  3. Step 3: Cross multiply
    214,506.36x = 296,032.68 × 119,023.56
  4. Step 4: Simplify right side
    214,506.36x = 35,234,863,449.94
  5. Step 5: Solve for x
    x = 35,234,863,449.94/214,506.36
  6. Step 6: Final answer
    x = 164,260.23

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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.