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Finding the Fourth Proportional to 125,692.70, 188,543.57 and 41,454.90

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Solution

The fourth proportional to 125,692.70, 188,543.57 and 41,454.90 is: 62,183.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,692.70 : 188,543.57 = 41,454.90 : x
  2. Step 2: Convert to fraction form
    125,692.70/188,543.57 = 41,454.90/x
  3. Step 3: Cross multiply
    125,692.70x = 188,543.57 × 41,454.90
  4. Step 4: Simplify right side
    125,692.70x = 7,816,054,632.72
  5. Step 5: Solve for x
    x = 7,816,054,632.72/125,692.70
  6. Step 6: Final answer
    x = 62,183.84

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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.