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Finding the Fourth Proportional to 194,957.38, 269,026.17 and 110,082.82

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Solution

The fourth proportional to 194,957.38, 269,026.17 and 110,082.82 is: 151,905.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,957.38 : 269,026.17 = 110,082.82 : x
  2. Step 2: Convert to fraction form
    194,957.38/269,026.17 = 110,082.82/x
  3. Step 3: Cross multiply
    194,957.38x = 269,026.17 × 110,082.82
  4. Step 4: Simplify right side
    194,957.38x = 29,615,159,447.40
  5. Step 5: Solve for x
    x = 29,615,159,447.40/194,957.38
  6. Step 6: Final answer
    x = 151,905.81

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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.