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Finding the Fourth Proportional to 114,296.40, 171,372.60 and 47,782.80

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Solution

The fourth proportional to 114,296.40, 171,372.60 and 47,782.80 is: 71,644.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,296.40 : 171,372.60 = 47,782.80 : x
  2. Step 2: Convert to fraction form
    114,296.40/171,372.60 = 47,782.80/x
  3. Step 3: Cross multiply
    114,296.40x = 171,372.60 × 47,782.80
  4. Step 4: Simplify right side
    114,296.40x = 8,188,662,671.28
  5. Step 5: Solve for x
    x = 8,188,662,671.28/114,296.40
  6. Step 6: Final answer
    x = 71,644.10

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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.