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Finding the Fourth Proportional to 276,034.80, 414,100.80 and 98,644.80

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Solution

The fourth proportional to 276,034.80, 414,100.80 and 98,644.80 is: 147,984.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,034.80 : 414,100.80 = 98,644.80 : x
  2. Step 2: Convert to fraction form
    276,034.80/414,100.80 = 98,644.80/x
  3. Step 3: Cross multiply
    276,034.80x = 414,100.80 × 98,644.80
  4. Step 4: Simplify right side
    276,034.80x = 40,848,890,595.84
  5. Step 5: Solve for x
    x = 40,848,890,595.84/276,034.80
  6. Step 6: Final answer
    x = 147,984.57

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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.