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Finding the Fourth Proportional to 214,725.38, 296,348.36 and 129,843.05

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Solution

The fourth proportional to 214,725.38, 296,348.36 and 129,843.05 is: 179,199.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,725.38 : 296,348.36 = 129,843.05 : x
  2. Step 2: Convert to fraction form
    214,725.38/296,348.36 = 129,843.05/x
  3. Step 3: Cross multiply
    214,725.38x = 296,348.36 × 129,843.05
  4. Step 4: Simplify right side
    214,725.38x = 38,478,772,793.94
  5. Step 5: Solve for x
    x = 38,478,772,793.94/214,725.38
  6. Step 6: Final answer
    x = 179,199.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.