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Finding the Fourth Proportional to 276,691.34, 414,371.67 and 158,002.94

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Solution

The fourth proportional to 276,691.34, 414,371.67 and 158,002.94 is: 236,624.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,691.34 : 414,371.67 = 158,002.94 : x
  2. Step 2: Convert to fraction form
    276,691.34/414,371.67 = 158,002.94/x
  3. Step 3: Cross multiply
    276,691.34x = 414,371.67 × 158,002.94
  4. Step 4: Simplify right side
    276,691.34x = 65,471,942,112.71
  5. Step 5: Solve for x
    x = 65,471,942,112.71/276,691.34
  6. Step 6: Final answer
    x = 236,624.47

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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.