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Finding the Fourth Proportional to 110,768.64, 152,893.44 and 77,245.44

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Solution

The fourth proportional to 110,768.64, 152,893.44 and 77,245.44 is: 106,621.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,768.64 : 152,893.44 = 77,245.44 : x
  2. Step 2: Convert to fraction form
    110,768.64/152,893.44 = 77,245.44/x
  3. Step 3: Cross multiply
    110,768.64x = 152,893.44 × 77,245.44
  4. Step 4: Simplify right side
    110,768.64x = 11,810,321,045.91
  5. Step 5: Solve for x
    x = 11,810,321,045.91/110,768.64
  6. Step 6: Final answer
    x = 106,621.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.