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Finding the Fourth Proportional to 214,514.93, 321,876.28 and 88,248.49

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Solution

The fourth proportional to 214,514.93, 321,876.28 and 88,248.49 is: 132,415.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,514.93 : 321,876.28 = 88,248.49 : x
  2. Step 2: Convert to fraction form
    214,514.93/321,876.28 = 88,248.49/x
  3. Step 3: Cross multiply
    214,514.93x = 321,876.28 × 88,248.49
  4. Step 4: Simplify right side
    214,514.93x = 28,405,094,982.44
  5. Step 5: Solve for x
    x = 28,405,094,982.44/214,514.93
  6. Step 6: Final answer
    x = 132,415.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.