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Finding the Fourth Proportional to 224,707.46, 310,103.69 and 122,738.94

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Solution

The fourth proportional to 224,707.46, 310,103.69 and 122,738.94 is: 169,383.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,707.46 : 310,103.69 = 122,738.94 : x
  2. Step 2: Convert to fraction form
    224,707.46/310,103.69 = 122,738.94/x
  3. Step 3: Cross multiply
    224,707.46x = 310,103.69 × 122,738.94
  4. Step 4: Simplify right side
    224,707.46x = 38,061,797,586.99
  5. Step 5: Solve for x
    x = 38,061,797,586.99/224,707.46
  6. Step 6: Final answer
    x = 169,383.78

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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.