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Finding the Fourth Proportional to 214,512.30, 296,027.46 and 119,019.24

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Solution

The fourth proportional to 214,512.30, 296,027.46 and 119,019.24 is: 164,246.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,512.30 : 296,027.46 = 119,019.24 : x
  2. Step 2: Convert to fraction form
    214,512.30/296,027.46 = 119,019.24/x
  3. Step 3: Cross multiply
    214,512.30x = 296,027.46 × 119,019.24
  4. Step 4: Simplify right side
    214,512.30x = 35,232,963,308.33
  5. Step 5: Solve for x
    x = 35,232,963,308.33/214,512.30
  6. Step 6: Final answer
    x = 164,246.82

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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.