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Finding the Fourth Proportional to 140,082.91, 193,259.39 and 86,274.54

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Solution

The fourth proportional to 140,082.91, 193,259.39 and 86,274.54 is: 119,024.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,082.91 : 193,259.39 = 86,274.54 : x
  2. Step 2: Convert to fraction form
    140,082.91/193,259.39 = 86,274.54/x
  3. Step 3: Cross multiply
    140,082.91x = 193,259.39 × 86,274.54
  4. Step 4: Simplify right side
    140,082.91x = 16,673,364,541.56
  5. Step 5: Solve for x
    x = 16,673,364,541.56/140,082.91
  6. Step 6: Final answer
    x = 119,024.97

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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.