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Finding the Fourth Proportional to 118,973.50, 178,450.79 and 47,846

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Solution

The fourth proportional to 118,973.50, 178,450.79 and 47,846 is: 71,765.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,973.50 : 178,450.79 = 47,846 : x
  2. Step 2: Convert to fraction form
    118,973.50/178,450.79 = 47,846/x
  3. Step 3: Cross multiply
    118,973.50x = 178,450.79 × 47,846
  4. Step 4: Simplify right side
    118,973.50x = 8,538,156,498.34
  5. Step 5: Solve for x
    x = 8,538,156,498.34/118,973.50
  6. Step 6: Final answer
    x = 71,765.20

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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.