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Finding the Fourth Proportional to 118,885.46, 178,286.82 and 47,786.98

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Solution

The fourth proportional to 118,885.46, 178,286.82 and 47,786.98 is: 71,663.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,885.46 : 178,286.82 = 47,786.98 : x
  2. Step 2: Convert to fraction form
    118,885.46/178,286.82 = 47,786.98/x
  3. Step 3: Cross multiply
    118,885.46x = 178,286.82 × 47,786.98
  4. Step 4: Simplify right side
    118,885.46x = 8,519,788,701.60
  5. Step 5: Solve for x
    x = 8,519,788,701.60/118,885.46
  6. Step 6: Final answer
    x = 71,663.84

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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.