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Finding the Fourth Proportional to 194,511.66, 291,621.69 and 82,323.42

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Solution

The fourth proportional to 194,511.66, 291,621.69 and 82,323.42 is: 123,423.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,511.66 : 291,621.69 = 82,323.42 : x
  2. Step 2: Convert to fraction form
    194,511.66/291,621.69 = 82,323.42/x
  3. Step 3: Cross multiply
    194,511.66x = 291,621.69 × 82,323.42
  4. Step 4: Simplify right side
    194,511.66x = 24,007,294,866.98
  5. Step 5: Solve for x
    x = 24,007,294,866.98/194,511.66
  6. Step 6: Final answer
    x = 123,423.42

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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.