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Finding the Fourth Proportional to 119,078.88, 178,573.32 and 47,977.41

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Solution

The fourth proportional to 119,078.88, 178,573.32 and 47,977.41 is: 71,947.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,078.88 : 178,573.32 = 47,977.41 : x
  2. Step 2: Convert to fraction form
    119,078.88/178,573.32 = 47,977.41/x
  3. Step 3: Cross multiply
    119,078.88x = 178,573.32 × 47,977.41
  4. Step 4: Simplify right side
    119,078.88x = 8,567,485,388.70
  5. Step 5: Solve for x
    x = 8,567,485,388.70/119,078.88
  6. Step 6: Final answer
    x = 71,947.98

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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.