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Finding the Fourth Proportional to 196,789.94, 294,997.88 and 76,923.74

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Solution

The fourth proportional to 196,789.94, 294,997.88 and 76,923.74 is: 115,312.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,789.94 : 294,997.88 = 76,923.74 : x
  2. Step 2: Convert to fraction form
    196,789.94/294,997.88 = 76,923.74/x
  3. Step 3: Cross multiply
    196,789.94x = 294,997.88 × 76,923.74
  4. Step 4: Simplify right side
    196,789.94x = 22,692,340,221.67
  5. Step 5: Solve for x
    x = 22,692,340,221.67/196,789.94
  6. Step 6: Final answer
    x = 115,312.50

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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.