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Finding the Fourth Proportional to 224,906.96, 310,604.01 and 194,546.54

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Solution

The fourth proportional to 224,906.96, 310,604.01 and 194,546.54 is: 268,675.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,906.96 : 310,604.01 = 194,546.54 : x
  2. Step 2: Convert to fraction form
    224,906.96/310,604.01 = 194,546.54/x
  3. Step 3: Cross multiply
    224,906.96x = 310,604.01 × 194,546.54
  4. Step 4: Simplify right side
    224,906.96x = 60,426,935,455.63
  5. Step 5: Solve for x
    x = 60,426,935,455.63/224,906.96
  6. Step 6: Final answer
    x = 268,675.26

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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.