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Finding the Fourth Proportional to 209,704.74, 314,692.44 and 76,573.85

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Solution

The fourth proportional to 209,704.74, 314,692.44 and 76,573.85 is: 114,910.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,704.74 : 314,692.44 = 76,573.85 : x
  2. Step 2: Convert to fraction form
    209,704.74/314,692.44 = 76,573.85/x
  3. Step 3: Cross multiply
    209,704.74x = 314,692.44 × 76,573.85
  4. Step 4: Simplify right side
    209,704.74x = 24,097,211,313.82
  5. Step 5: Solve for x
    x = 24,097,211,313.82/209,704.74
  6. Step 6: Final answer
    x = 114,910.19

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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.