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Finding the Fourth Proportional to 196,297.56, 294,225.64 and 99,964.48

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Solution

The fourth proportional to 196,297.56, 294,225.64 and 99,964.48 is: 149,834.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,297.56 : 294,225.64 = 99,964.48 : x
  2. Step 2: Convert to fraction form
    196,297.56/294,225.64 = 99,964.48/x
  3. Step 3: Cross multiply
    196,297.56x = 294,225.64 × 99,964.48
  4. Step 4: Simplify right side
    196,297.56x = 29,412,113,105.27
  5. Step 5: Solve for x
    x = 29,412,113,105.27/196,297.56
  6. Step 6: Final answer
    x = 149,834.33

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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.