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Finding the Fourth Proportional to 194,907, 292,367.40 and 100,111.56

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Solution

The fourth proportional to 194,907, 292,367.40 and 100,111.56 is: 150,170.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,907 : 292,367.40 = 100,111.56 : x
  2. Step 2: Convert to fraction form
    194,907/292,367.40 = 100,111.56/x
  3. Step 3: Cross multiply
    194,907x = 292,367.40 × 100,111.56
  4. Step 4: Simplify right side
    194,907x = 29,269,356,507.14
  5. Step 5: Solve for x
    x = 29,269,356,507.14/194,907
  6. Step 6: Final answer
    x = 150,170.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.