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Finding the Fourth Proportional to 254,061.36, 381,108.24 and 67,068

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Solution

The fourth proportional to 254,061.36, 381,108.24 and 67,068 is: 100,606.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,061.36 : 381,108.24 = 67,068 : x
  2. Step 2: Convert to fraction form
    254,061.36/381,108.24 = 67,068/x
  3. Step 3: Cross multiply
    254,061.36x = 381,108.24 × 67,068
  4. Step 4: Simplify right side
    254,061.36x = 25,560,167,440.32
  5. Step 5: Solve for x
    x = 25,560,167,440.32/254,061.36
  6. Step 6: Final answer
    x = 100,606.28

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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.