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Finding the Fourth Proportional to 194,800.41, 291,979.35 and 82,410.48

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Solution

The fourth proportional to 194,800.41, 291,979.35 and 82,410.48 is: 123,522.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,800.41 : 291,979.35 = 82,410.48 : x
  2. Step 2: Convert to fraction form
    194,800.41/291,979.35 = 82,410.48/x
  3. Step 3: Cross multiply
    194,800.41x = 291,979.35 × 82,410.48
  4. Step 4: Simplify right side
    194,800.41x = 24,062,158,383.59
  5. Step 5: Solve for x
    x = 24,062,158,383.59/194,800.41
  6. Step 6: Final answer
    x = 123,522.11

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Why These Related Problems?

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