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Finding the Fourth Proportional to 276,293.66, 414,440.50 and 98,789.91

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Solution

The fourth proportional to 276,293.66, 414,440.50 and 98,789.91 is: 148,184.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,293.66 : 414,440.50 = 98,789.91 : x
  2. Step 2: Convert to fraction form
    276,293.66/414,440.50 = 98,789.91/x
  3. Step 3: Cross multiply
    276,293.66x = 414,440.50 × 98,789.91
  4. Step 4: Simplify right side
    276,293.66x = 40,942,539,201.41
  5. Step 5: Solve for x
    x = 40,942,539,201.41/276,293.66
  6. Step 6: Final answer
    x = 148,184.87

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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.