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Finding the Fourth Proportional to 197,697.56, 272,842.20 and 112,827.38

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Solution

The fourth proportional to 197,697.56, 272,842.20 and 112,827.38 is: 155,712.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,697.56 : 272,842.20 = 112,827.38 : x
  2. Step 2: Convert to fraction form
    197,697.56/272,842.20 = 112,827.38/x
  3. Step 3: Cross multiply
    197,697.56x = 272,842.20 × 112,827.38
  4. Step 4: Simplify right side
    197,697.56x = 30,784,070,579.44
  5. Step 5: Solve for x
    x = 30,784,070,579.44/197,697.56
  6. Step 6: Final answer
    x = 155,712.95

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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.