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Finding the Fourth Proportional to 276,257.54, 381,269.14 and 155,403.92

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Solution

The fourth proportional to 276,257.54, 381,269.14 and 155,403.92 is: 214,476.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,257.54 : 381,269.14 = 155,403.92 : x
  2. Step 2: Convert to fraction form
    276,257.54/381,269.14 = 155,403.92/x
  3. Step 3: Cross multiply
    276,257.54x = 381,269.14 × 155,403.92
  4. Step 4: Simplify right side
    276,257.54x = 59,250,718,931.03
  5. Step 5: Solve for x
    x = 59,250,718,931.03/276,257.54
  6. Step 6: Final answer
    x = 214,476.39

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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.