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Finding the Fourth Proportional to 146,224.34, 219,168.38 and 67,172.49

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Solution

The fourth proportional to 146,224.34, 219,168.38 and 67,172.49 is: 100,681.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,224.34 : 219,168.38 = 67,172.49 : x
  2. Step 2: Convert to fraction form
    146,224.34/219,168.38 = 67,172.49/x
  3. Step 3: Cross multiply
    146,224.34x = 219,168.38 × 67,172.49
  4. Step 4: Simplify right side
    146,224.34x = 14,722,085,981.80
  5. Step 5: Solve for x
    x = 14,722,085,981.80/146,224.34
  6. Step 6: Final answer
    x = 100,681.50

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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.