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Finding the Fourth Proportional to 196,574, 271,272.24 and 107,150

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Solution

The fourth proportional to 196,574, 271,272.24 and 107,150 is: 147,867.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,574 : 271,272.24 = 107,150 : x
  2. Step 2: Convert to fraction form
    196,574/271,272.24 = 107,150/x
  3. Step 3: Cross multiply
    196,574x = 271,272.24 × 107,150
  4. Step 4: Simplify right side
    196,574x = 29,066,820,516
  5. Step 5: Solve for x
    x = 29,066,820,516/196,574
  6. Step 6: Final answer
    x = 147,867.07

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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.