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Finding the Fourth Proportional to 276,034.92, 414,139.86 and 98,538

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Solution

The fourth proportional to 276,034.92, 414,139.86 and 98,538 is: 147,838.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,034.92 : 414,139.86 = 98,538 : x
  2. Step 2: Convert to fraction form
    276,034.92/414,139.86 = 98,538/x
  3. Step 3: Cross multiply
    276,034.92x = 414,139.86 × 98,538
  4. Step 4: Simplify right side
    276,034.92x = 40,808,513,524.68
  5. Step 5: Solve for x
    x = 40,808,513,524.68/276,034.92
  6. Step 6: Final answer
    x = 147,838.23

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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.