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Finding the Fourth Proportional to 197,025, 271,894.50 and 107,601

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Solution

The fourth proportional to 197,025, 271,894.50 and 107,601 is: 148,489.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,025 : 271,894.50 = 107,601 : x
  2. Step 2: Convert to fraction form
    197,025/271,894.50 = 107,601/x
  3. Step 3: Cross multiply
    197,025x = 271,894.50 × 107,601
  4. Step 4: Simplify right side
    197,025x = 29,256,120,094.50
  5. Step 5: Solve for x
    x = 29,256,120,094.50/197,025
  6. Step 6: Final answer
    x = 148,489.38

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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.