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Finding the Fourth Proportional to 214,725.90, 296,349.06 and 129,843.56

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Solution

The fourth proportional to 214,725.90, 296,349.06 and 129,843.56 is: 179,200.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,725.90 : 296,349.06 = 129,843.56 : x
  2. Step 2: Convert to fraction form
    214,725.90/296,349.06 = 129,843.56/x
  3. Step 3: Cross multiply
    214,725.90x = 296,349.06 × 129,843.56
  4. Step 4: Simplify right side
    214,725.90x = 38,479,016,953.05
  5. Step 5: Solve for x
    x = 38,479,016,953.05/214,725.90
  6. Step 6: Final answer
    x = 179,200.63

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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.