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Finding the Fourth Proportional to 197,024, 271,894.72 and 107,600

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Solution

The fourth proportional to 197,024, 271,894.72 and 107,600 is: 148,488.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,024 : 271,894.72 = 107,600 : x
  2. Step 2: Convert to fraction form
    197,024/271,894.72 = 107,600/x
  3. Step 3: Cross multiply
    197,024x = 271,894.72 × 107,600
  4. Step 4: Simplify right side
    197,024x = 29,255,871,872.00
  5. Step 5: Solve for x
    x = 29,255,871,872.00/197,024
  6. Step 6: Final answer
    x = 148,488.87

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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.