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Finding the Fourth Proportional to 276,536.85, 414,713.01 and 108,013.47

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Solution

The fourth proportional to 276,536.85, 414,713.01 and 108,013.47 is: 161,984.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,536.85 : 414,713.01 = 108,013.47 : x
  2. Step 2: Convert to fraction form
    276,536.85/414,713.01 = 108,013.47/x
  3. Step 3: Cross multiply
    276,536.85x = 414,713.01 × 108,013.47
  4. Step 4: Simplify right side
    276,536.85x = 44,794,591,264.24
  5. Step 5: Solve for x
    x = 44,794,591,264.24/276,536.85
  6. Step 6: Final answer
    x = 161,984.17

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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.