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Finding the Fourth Proportional to 195,538.44, 269,843.05 and 106,114.44

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Solution

The fourth proportional to 195,538.44, 269,843.05 and 106,114.44 is: 146,437.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,538.44 : 269,843.05 = 106,114.44 : x
  2. Step 2: Convert to fraction form
    195,538.44/269,843.05 = 106,114.44/x
  3. Step 3: Cross multiply
    195,538.44x = 269,843.05 × 106,114.44
  4. Step 4: Simplify right side
    195,538.44x = 28,634,242,933.46
  5. Step 5: Solve for x
    x = 28,634,242,933.46/195,538.44
  6. Step 6: Final answer
    x = 146,437.92

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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.