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Finding the Fourth Proportional to 194,295.10, 268,122 and 109,410.34

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Solution

The fourth proportional to 194,295.10, 268,122 and 109,410.34 is: 150,983.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,295.10 : 268,122 = 109,410.34 : x
  2. Step 2: Convert to fraction form
    194,295.10/268,122 = 109,410.34/x
  3. Step 3: Cross multiply
    194,295.10x = 268,122 × 109,410.34
  4. Step 4: Simplify right side
    194,295.10x = 29,335,319,181.48
  5. Step 5: Solve for x
    x = 29,335,319,181.48/194,295.10
  6. Step 6: Final answer
    x = 150,983.32

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