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Finding the Fourth Proportional to 196,685.88, 294,749.78 and 151,536.44

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Solution

The fourth proportional to 196,685.88, 294,749.78 and 151,536.44 is: 227,089.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,685.88 : 294,749.78 = 151,536.44 : x
  2. Step 2: Convert to fraction form
    196,685.88/294,749.78 = 151,536.44/x
  3. Step 3: Cross multiply
    196,685.88x = 294,749.78 × 151,536.44
  4. Step 4: Simplify right side
    196,685.88x = 44,665,332,351.98
  5. Step 5: Solve for x
    x = 44,665,332,351.98/196,685.88
  6. Step 6: Final answer
    x = 227,089.67

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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.