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Finding the Fourth Proportional to 215,128.20, 322,692.30 and 164,389.80

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Solution

The fourth proportional to 215,128.20, 322,692.30 and 164,389.80 is: 246,584.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,128.20 : 322,692.30 = 164,389.80 : x
  2. Step 2: Convert to fraction form
    215,128.20/322,692.30 = 164,389.80/x
  3. Step 3: Cross multiply
    215,128.20x = 322,692.30 × 164,389.80
  4. Step 4: Simplify right side
    215,128.20x = 53,047,322,658.54
  5. Step 5: Solve for x
    x = 53,047,322,658.54/215,128.20
  6. Step 6: Final answer
    x = 246,584.70

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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.