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Finding the Fourth Proportional to 197,268, 272,229.84 and 107,844

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Solution

The fourth proportional to 197,268, 272,229.84 and 107,844 is: 148,824.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,268 : 272,229.84 = 107,844 : x
  2. Step 2: Convert to fraction form
    197,268/272,229.84 = 107,844/x
  3. Step 3: Cross multiply
    197,268x = 272,229.84 × 107,844
  4. Step 4: Simplify right side
    197,268x = 29,358,354,864.96
  5. Step 5: Solve for x
    x = 29,358,354,864.96/197,268
  6. Step 6: Final answer
    x = 148,824.72

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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.