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Finding the Fourth Proportional to 227,692.94, 314,192.40 and 132,180.98

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Solution

The fourth proportional to 227,692.94, 314,192.40 and 132,180.98 is: 182,395.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,692.94 : 314,192.40 = 132,180.98 : x
  2. Step 2: Convert to fraction form
    227,692.94/314,192.40 = 132,180.98/x
  3. Step 3: Cross multiply
    227,692.94x = 314,192.40 × 132,180.98
  4. Step 4: Simplify right side
    227,692.94x = 41,530,259,340.55
  5. Step 5: Solve for x
    x = 41,530,259,340.55/227,692.94
  6. Step 6: Final answer
    x = 182,395.90

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1.5x scale

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.