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Finding the Fourth Proportional to 113,843.60, 170,785.20 and 47,247.20

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Solution

The fourth proportional to 113,843.60, 170,785.20 and 47,247.20 is: 70,879.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,843.60 : 170,785.20 = 47,247.20 : x
  2. Step 2: Convert to fraction form
    113,843.60/170,785.20 = 47,247.20/x
  3. Step 3: Cross multiply
    113,843.60x = 170,785.20 × 47,247.20
  4. Step 4: Simplify right side
    113,843.60x = 8,069,122,501.44
  5. Step 5: Solve for x
    x = 8,069,122,501.44/113,843.60
  6. Step 6: Final answer
    x = 70,879.02

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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.