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Finding the Fourth Proportional to 193,692.49, 290,372.34 and 67,316.32

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Solution

The fourth proportional to 193,692.49, 290,372.34 and 67,316.32 is: 100,916.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,692.49 : 290,372.34 = 67,316.32 : x
  2. Step 2: Convert to fraction form
    193,692.49/290,372.34 = 67,316.32/x
  3. Step 3: Cross multiply
    193,692.49x = 290,372.34 × 67,316.32
  4. Step 4: Simplify right side
    193,692.49x = 19,546,795,570.15
  5. Step 5: Solve for x
    x = 19,546,795,570.15/193,692.49
  6. Step 6: Final answer
    x = 100,916.64

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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.