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Finding the Fourth Proportional to 214,886.96, 322,219.68 and 96,456.78

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Solution

The fourth proportional to 214,886.96, 322,219.68 and 96,456.78 is: 144,635.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,886.96 : 322,219.68 = 96,456.78 : x
  2. Step 2: Convert to fraction form
    214,886.96/322,219.68 = 96,456.78/x
  3. Step 3: Cross multiply
    214,886.96x = 322,219.68 × 96,456.78
  4. Step 4: Simplify right side
    214,886.96x = 31,080,272,785.43
  5. Step 5: Solve for x
    x = 31,080,272,785.43/214,886.96
  6. Step 6: Final answer
    x = 144,635.46

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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.