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Finding the Fourth Proportional to 165,692.80, 224,035.20 and 165,692.80

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Solution

The fourth proportional to 165,692.80, 224,035.20 and 165,692.80 is: 224,035.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,692.80 : 224,035.20 = 165,692.80 : x
  2. Step 2: Convert to fraction form
    165,692.80/224,035.20 = 165,692.80/x
  3. Step 3: Cross multiply
    165,692.80x = 224,035.20 × 165,692.80
  4. Step 4: Simplify right side
    165,692.80x = 37,121,019,586.56
  5. Step 5: Solve for x
    x = 37,121,019,586.56/165,692.80
  6. Step 6: Final answer
    x = 224,035.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.