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Finding the Fourth Proportional to 147,194.61, 203,127.99 and 82,654.88

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Solution

The fourth proportional to 147,194.61, 203,127.99 and 82,654.88 is: 114,063.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,194.61 : 203,127.99 = 82,654.88 : x
  2. Step 2: Convert to fraction form
    147,194.61/203,127.99 = 82,654.88/x
  3. Step 3: Cross multiply
    147,194.61x = 203,127.99 × 82,654.88
  4. Step 4: Simplify right side
    147,194.61x = 16,789,519,638.09
  5. Step 5: Solve for x
    x = 16,789,519,638.09/147,194.61
  6. Step 6: Final answer
    x = 114,063.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.