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Finding the Fourth Proportional to 214,886.70, 322,219.31 and 96,456.53

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Solution

The fourth proportional to 214,886.70, 322,219.31 and 96,456.53 is: 144,635.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,886.70 : 322,219.31 = 96,456.53 : x
  2. Step 2: Convert to fraction form
    214,886.70/322,219.31 = 96,456.53/x
  3. Step 3: Cross multiply
    214,886.70x = 322,219.31 × 96,456.53
  4. Step 4: Simplify right side
    214,886.70x = 31,080,156,541.59
  5. Step 5: Solve for x
    x = 31,080,156,541.59/214,886.70
  6. Step 6: Final answer
    x = 144,635.09

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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.