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Finding the Fourth Proportional to 171,111.17, 256,692.27 and 71,214.48

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Solution

The fourth proportional to 171,111.17, 256,692.27 and 71,214.48 is: 106,832.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,111.17 : 256,692.27 = 71,214.48 : x
  2. Step 2: Convert to fraction form
    171,111.17/256,692.27 = 71,214.48/x
  3. Step 3: Cross multiply
    171,111.17x = 256,692.27 × 71,214.48
  4. Step 4: Simplify right side
    171,111.17x = 18,280,206,528.07
  5. Step 5: Solve for x
    x = 18,280,206,528.07/171,111.17
  6. Step 6: Final answer
    x = 106,832.34

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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.