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Finding the Fourth Proportional to 196,472.88, 294,763.49 and 78,227.25

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Solution

The fourth proportional to 196,472.88, 294,763.49 and 78,227.25 is: 117,362.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,472.88 : 294,763.49 = 78,227.25 : x
  2. Step 2: Convert to fraction form
    196,472.88/294,763.49 = 78,227.25/x
  3. Step 3: Cross multiply
    196,472.88x = 294,763.49 × 78,227.25
  4. Step 4: Simplify right side
    196,472.88x = 23,058,536,831.97
  5. Step 5: Solve for x
    x = 23,058,536,831.97/196,472.88
  6. Step 6: Final answer
    x = 117,362.44

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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.