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Finding the Fourth Proportional to 203,666.92, 281,047.64 and 123,046.80

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Solution

The fourth proportional to 203,666.92, 281,047.64 and 123,046.80 is: 169,796.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,666.92 : 281,047.64 = 123,046.80 : x
  2. Step 2: Convert to fraction form
    203,666.92/281,047.64 = 123,046.80/x
  3. Step 3: Cross multiply
    203,666.92x = 281,047.64 × 123,046.80
  4. Step 4: Simplify right side
    203,666.92x = 34,582,012,749.55
  5. Step 5: Solve for x
    x = 34,582,012,749.55/203,666.92
  6. Step 6: Final answer
    x = 169,796.91

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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.