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Finding the Fourth Proportional to 276,092.20, 414,138.30 and 176,559.40

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Solution

The fourth proportional to 276,092.20, 414,138.30 and 176,559.40 is: 264,839.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,092.20 : 414,138.30 = 176,559.40 : x
  2. Step 2: Convert to fraction form
    276,092.20/414,138.30 = 176,559.40/x
  3. Step 3: Cross multiply
    276,092.20x = 414,138.30 × 176,559.40
  4. Step 4: Simplify right side
    276,092.20x = 73,120,009,765.02
  5. Step 5: Solve for x
    x = 73,120,009,765.02/276,092.20
  6. Step 6: Final answer
    x = 264,839.10

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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.