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Finding the Fourth Proportional to 214,886.66, 322,218.74 and 96,456.02

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Solution

The fourth proportional to 214,886.66, 322,218.74 and 96,456.02 is: 144,634.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,886.66 : 322,218.74 = 96,456.02 : x
  2. Step 2: Convert to fraction form
    214,886.66/322,218.74 = 96,456.02/x
  3. Step 3: Cross multiply
    214,886.66x = 322,218.74 × 96,456.02
  4. Step 4: Simplify right side
    214,886.66x = 31,079,935,859.86
  5. Step 5: Solve for x
    x = 31,079,935,859.86/214,886.66
  6. Step 6: Final answer
    x = 144,634.09

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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.