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Finding the Fourth Proportional to 224,622.35, 309,976.47 and 122,647.49

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Solution

The fourth proportional to 224,622.35, 309,976.47 and 122,647.49 is: 169,252.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,622.35 : 309,976.47 = 122,647.49 : x
  2. Step 2: Convert to fraction form
    224,622.35/309,976.47 = 122,647.49/x
  3. Step 3: Cross multiply
    224,622.35x = 309,976.47 × 122,647.49
  4. Step 4: Simplify right side
    224,622.35x = 38,017,836,004.56
  5. Step 5: Solve for x
    x = 38,017,836,004.56/224,622.35
  6. Step 6: Final answer
    x = 169,252.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.