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Finding the Fourth Proportional to 196,465.44, 271,155.06 and 115,912.92

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Solution

The fourth proportional to 196,465.44, 271,155.06 and 115,912.92 is: 159,979.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,465.44 : 271,155.06 = 115,912.92 : x
  2. Step 2: Convert to fraction form
    196,465.44/271,155.06 = 115,912.92/x
  3. Step 3: Cross multiply
    196,465.44x = 271,155.06 × 115,912.92
  4. Step 4: Simplify right side
    196,465.44x = 31,430,374,777.38
  5. Step 5: Solve for x
    x = 31,430,374,777.38/196,465.44
  6. Step 6: Final answer
    x = 159,979.15

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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.