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Finding the Fourth Proportional to 196,771, 295,206.33 and 56,529.64

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Solution

The fourth proportional to 196,771, 295,206.33 and 56,529.64 is: 84,808.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,771 : 295,206.33 = 56,529.64 : x
  2. Step 2: Convert to fraction form
    196,771/295,206.33 = 56,529.64/x
  3. Step 3: Cross multiply
    196,771x = 295,206.33 × 56,529.64
  4. Step 4: Simplify right side
    196,771x = 16,687,907,560.62
  5. Step 5: Solve for x
    x = 16,687,907,560.62/196,771
  6. Step 6: Final answer
    x = 84,808.78

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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.