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Finding the Fourth Proportional to 197,296.16, 272,264.60 and 107,872.16

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Solution

The fourth proportional to 197,296.16, 272,264.60 and 107,872.16 is: 148,861.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,296.16 : 272,264.60 = 107,872.16 : x
  2. Step 2: Convert to fraction form
    197,296.16/272,264.60 = 107,872.16/x
  3. Step 3: Cross multiply
    197,296.16x = 272,264.60 × 107,872.16
  4. Step 4: Simplify right side
    197,296.16x = 29,369,770,493.54
  5. Step 5: Solve for x
    x = 29,369,770,493.54/197,296.16
  6. Step 6: Final answer
    x = 148,861.34

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1.5x scale

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.