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Finding the Fourth Proportional to 160,184.97, 240,311.94 and 47,874.33

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Solution

The fourth proportional to 160,184.97, 240,311.94 and 47,874.33 is: 71,821.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,184.97 : 240,311.94 = 47,874.33 : x
  2. Step 2: Convert to fraction form
    160,184.97/240,311.94 = 47,874.33/x
  3. Step 3: Cross multiply
    160,184.97x = 240,311.94 × 47,874.33
  4. Step 4: Simplify right side
    160,184.97x = 11,504,773,118.50
  5. Step 5: Solve for x
    x = 11,504,773,118.50/160,184.97
  6. Step 6: Final answer
    x = 71,821.80

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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.