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Finding the Fourth Proportional to 196,783.68, 271,513.17 and 115,099.23

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Solution

The fourth proportional to 196,783.68, 271,513.17 and 115,099.23 is: 158,808.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,783.68 : 271,513.17 = 115,099.23 : x
  2. Step 2: Convert to fraction form
    196,783.68/271,513.17 = 115,099.23/x
  3. Step 3: Cross multiply
    196,783.68x = 271,513.17 × 115,099.23
  4. Step 4: Simplify right side
    196,783.68x = 31,250,956,801.86
  5. Step 5: Solve for x
    x = 31,250,956,801.86/196,783.68
  6. Step 6: Final answer
    x = 158,808.68

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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.