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Finding the Fourth Proportional to 197,742, 272,883.96 and 112,857.24

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Solution

The fourth proportional to 197,742, 272,883.96 and 112,857.24 is: 155,742.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,742 : 272,883.96 = 112,857.24 : x
  2. Step 2: Convert to fraction form
    197,742/272,883.96 = 112,857.24/x
  3. Step 3: Cross multiply
    197,742x = 272,883.96 × 112,857.24
  4. Step 4: Simplify right side
    197,742x = 30,796,930,565.87
  5. Step 5: Solve for x
    x = 30,796,930,565.87/197,742
  6. Step 6: Final answer
    x = 155,742.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.