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Finding the Fourth Proportional to 196,123.92, 294,188.92 and 55,885.84

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Solution

The fourth proportional to 196,123.92, 294,188.92 and 55,885.84 is: 83,829.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,123.92 : 294,188.92 = 55,885.84 : x
  2. Step 2: Convert to fraction form
    196,123.92/294,188.92 = 55,885.84/x
  3. Step 3: Cross multiply
    196,123.92x = 294,188.92 × 55,885.84
  4. Step 4: Simplify right side
    196,123.92x = 16,440,994,912.89
  5. Step 5: Solve for x
    x = 16,440,994,912.89/196,123.92
  6. Step 6: Final answer
    x = 83,829.63

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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.