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Finding the Fourth Proportional to 196,757.60, 294,692.34 and 137,856.20

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Solution

The fourth proportional to 196,757.60, 294,692.34 and 137,856.20 is: 206,473.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,757.60 : 294,692.34 = 137,856.20 : x
  2. Step 2: Convert to fraction form
    196,757.60/294,692.34 = 137,856.20/x
  3. Step 3: Cross multiply
    196,757.60x = 294,692.34 × 137,856.20
  4. Step 4: Simplify right side
    196,757.60x = 40,625,166,161.51
  5. Step 5: Solve for x
    x = 40,625,166,161.51/196,757.60
  6. Step 6: Final answer
    x = 206,473.17

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1.5x scale

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.