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Finding the Fourth Proportional to 117,914.40, 176,893.20 and 47,800.80

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Solution

The fourth proportional to 117,914.40, 176,893.20 and 47,800.80 is: 71,709.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,914.40 : 176,893.20 = 47,800.80 : x
  2. Step 2: Convert to fraction form
    117,914.40/176,893.20 = 47,800.80/x
  3. Step 3: Cross multiply
    117,914.40x = 176,893.20 × 47,800.80
  4. Step 4: Simplify right side
    117,914.40x = 8,455,636,474.56
  5. Step 5: Solve for x
    x = 8,455,636,474.56/117,914.40
  6. Step 6: Final answer
    x = 71,709.96

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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.