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Finding the Fourth Proportional to 196,044.97, 294,098.22 and 83,725.76

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Solution

The fourth proportional to 196,044.97, 294,098.22 and 83,725.76 is: 125,601.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,044.97 : 294,098.22 = 83,725.76 : x
  2. Step 2: Convert to fraction form
    196,044.97/294,098.22 = 83,725.76/x
  3. Step 3: Cross multiply
    196,044.97x = 294,098.22 × 83,725.76
  4. Step 4: Simplify right side
    196,044.97x = 24,623,596,984.15
  5. Step 5: Solve for x
    x = 24,623,596,984.15/196,044.97
  6. Step 6: Final answer
    x = 125,601.78

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1.5x scale

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.