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Finding the Fourth Proportional to 276,062.80, 414,142.80 and 98,672.80

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Solution

The fourth proportional to 276,062.80, 414,142.80 and 98,672.80 is: 148,026.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,062.80 : 414,142.80 = 98,672.80 : x
  2. Step 2: Convert to fraction form
    276,062.80/414,142.80 = 98,672.80/x
  3. Step 3: Cross multiply
    276,062.80x = 414,142.80 × 98,672.80
  4. Step 4: Simplify right side
    276,062.80x = 40,864,629,675.84
  5. Step 5: Solve for x
    x = 40,864,629,675.84/276,062.80
  6. Step 6: Final answer
    x = 148,026.57

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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.