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Finding the Fourth Proportional to 195,951.90, 294,058.77 and 71,292.90

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Solution

The fourth proportional to 195,951.90, 294,058.77 and 71,292.90 is: 106,986.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,951.90 : 294,058.77 = 71,292.90 : x
  2. Step 2: Convert to fraction form
    195,951.90/294,058.77 = 71,292.90/x
  3. Step 3: Cross multiply
    195,951.90x = 294,058.77 × 71,292.90
  4. Step 4: Simplify right side
    195,951.90x = 20,964,302,483.73
  5. Step 5: Solve for x
    x = 20,964,302,483.73/195,951.90
  6. Step 6: Final answer
    x = 106,986.98

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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.