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Finding the Fourth Proportional to 196,614, 294,286.64 and 101,713.52

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Solution

The fourth proportional to 196,614, 294,286.64 and 101,713.52 is: 152,242.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,614 : 294,286.64 = 101,713.52 : x
  2. Step 2: Convert to fraction form
    196,614/294,286.64 = 101,713.52/x
  3. Step 3: Cross multiply
    196,614x = 294,286.64 × 101,713.52
  4. Step 4: Simplify right side
    196,614x = 29,932,930,270.52
  5. Step 5: Solve for x
    x = 29,932,930,270.52/196,614
  6. Step 6: Final answer
    x = 152,242.11

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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.