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Finding the Fourth Proportional to 276,046.20, 414,069.30 and 192,065.40

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Solution

The fourth proportional to 276,046.20, 414,069.30 and 192,065.40 is: 288,098.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,046.20 : 414,069.30 = 192,065.40 : x
  2. Step 2: Convert to fraction form
    276,046.20/414,069.30 = 192,065.40/x
  3. Step 3: Cross multiply
    276,046.20x = 414,069.30 × 192,065.40
  4. Step 4: Simplify right side
    276,046.20x = 79,528,385,732.22
  5. Step 5: Solve for x
    x = 79,528,385,732.22/276,046.20
  6. Step 6: Final answer
    x = 288,098.10

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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.