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Finding the Fourth Proportional to 194,734.40, 290,692.90 and 171,114.80

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Solution

The fourth proportional to 194,734.40, 290,692.90 and 171,114.80 is: 255,434.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,734.40 : 290,692.90 = 171,114.80 : x
  2. Step 2: Convert to fraction form
    194,734.40/290,692.90 = 171,114.80/x
  3. Step 3: Cross multiply
    194,734.40x = 290,692.90 × 171,114.80
  4. Step 4: Simplify right side
    194,734.40x = 49,741,857,444.92
  5. Step 5: Solve for x
    x = 49,741,857,444.92/194,734.40
  6. Step 6: Final answer
    x = 255,434.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.