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Finding the Fourth Proportional to 276,104.48, 414,061.12 and 133,867.04

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Solution

The fourth proportional to 276,104.48, 414,061.12 and 133,867.04 is: 200,754.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,104.48 : 414,061.12 = 133,867.04 : x
  2. Step 2: Convert to fraction form
    276,104.48/414,061.12 = 133,867.04/x
  3. Step 3: Cross multiply
    276,104.48x = 414,061.12 × 133,867.04
  4. Step 4: Simplify right side
    276,104.48x = 55,429,136,513.48
  5. Step 5: Solve for x
    x = 55,429,136,513.48/276,104.48
  6. Step 6: Final answer
    x = 200,754.21

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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.