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Finding the Fourth Proportional to 196,691.96, 295,038.30 and 84,299.30

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Solution

The fourth proportional to 196,691.96, 295,038.30 and 84,299.30 is: 126,449.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,691.96 : 295,038.30 = 84,299.30 : x
  2. Step 2: Convert to fraction form
    196,691.96/295,038.30 = 84,299.30/x
  3. Step 3: Cross multiply
    196,691.96x = 295,038.30 × 84,299.30
  4. Step 4: Simplify right side
    196,691.96x = 24,871,522,163.19
  5. Step 5: Solve for x
    x = 24,871,522,163.19/196,691.96
  6. Step 6: Final answer
    x = 126,449.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.