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Finding the Fourth Proportional to 197,271, 272,234.94 and 107,847

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Solution

The fourth proportional to 197,271, 272,234.94 and 107,847 is: 148,829.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,271 : 272,234.94 = 107,847 : x
  2. Step 2: Convert to fraction form
    197,271/272,234.94 = 107,847/x
  3. Step 3: Cross multiply
    197,271x = 272,234.94 × 107,847
  4. Step 4: Simplify right side
    197,271x = 29,359,721,574.18
  5. Step 5: Solve for x
    x = 29,359,721,574.18/197,271
  6. Step 6: Final answer
    x = 148,829.38

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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.