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Finding the Fourth Proportional to 194,503.98, 291,787.11 and 82,185.30

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Solution

The fourth proportional to 194,503.98, 291,787.11 and 82,185.30 is: 123,291.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,503.98 : 291,787.11 = 82,185.30 : x
  2. Step 2: Convert to fraction form
    194,503.98/291,787.11 = 82,185.30/x
  3. Step 3: Cross multiply
    194,503.98x = 291,787.11 × 82,185.30
  4. Step 4: Simplify right side
    194,503.98x = 23,980,611,171.48
  5. Step 5: Solve for x
    x = 23,980,611,171.48/194,503.98
  6. Step 6: Final answer
    x = 123,291.11

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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.