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Finding the Fourth Proportional to 214,676.52, 322,069.49 and 96,392.62

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Solution

The fourth proportional to 214,676.52, 322,069.49 and 96,392.62 is: 144,613.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,676.52 : 322,069.49 = 96,392.62 : x
  2. Step 2: Convert to fraction form
    214,676.52/322,069.49 = 96,392.62/x
  3. Step 3: Cross multiply
    214,676.52x = 322,069.49 × 96,392.62
  4. Step 4: Simplify right side
    214,676.52x = 31,045,121,963.16
  5. Step 5: Solve for x
    x = 31,045,121,963.16/214,676.52
  6. Step 6: Final answer
    x = 144,613.50

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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.