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Finding the Fourth Proportional to 194,866.75, 268,916.93 and 105,442.75

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Solution

The fourth proportional to 194,866.75, 268,916.93 and 105,442.75 is: 145,511.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,866.75 : 268,916.93 = 105,442.75 : x
  2. Step 2: Convert to fraction form
    194,866.75/268,916.93 = 105,442.75/x
  3. Step 3: Cross multiply
    194,866.75x = 268,916.93 × 105,442.75
  4. Step 4: Simplify right side
    194,866.75x = 28,355,340,620.76
  5. Step 5: Solve for x
    x = 28,355,340,620.76/194,866.75
  6. Step 6: Final answer
    x = 145,511.44

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Why These Related Problems?

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