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Finding the Fourth Proportional to 276,139.44, 414,296.16 and 98,642.52

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Solution

The fourth proportional to 276,139.44, 414,296.16 and 98,642.52 is: 147,994.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,139.44 : 414,296.16 = 98,642.52 : x
  2. Step 2: Convert to fraction form
    276,139.44/414,296.16 = 98,642.52/x
  3. Step 3: Cross multiply
    276,139.44x = 414,296.16 × 98,642.52
  4. Step 4: Simplify right side
    276,139.44x = 40,867,217,248.72
  5. Step 5: Solve for x
    x = 40,867,217,248.72/276,139.44
  6. Step 6: Final answer
    x = 147,994.86

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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.