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Finding the Fourth Proportional to 185,647.02, 256,193.39 and 100,764.09

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Solution

The fourth proportional to 185,647.02, 256,193.39 and 100,764.09 is: 139,054.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,647.02 : 256,193.39 = 100,764.09 : x
  2. Step 2: Convert to fraction form
    185,647.02/256,193.39 = 100,764.09/x
  3. Step 3: Cross multiply
    185,647.02x = 256,193.39 × 100,764.09
  4. Step 4: Simplify right side
    185,647.02x = 25,815,093,807.37
  5. Step 5: Solve for x
    x = 25,815,093,807.37/185,647.02
  6. Step 6: Final answer
    x = 139,054.72

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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.