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Finding the Fourth Proportional to 273,082.25, 409,692.50 and 76,090.25

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Solution

The fourth proportional to 273,082.25, 409,692.50 and 76,090.25 is: 114,154.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,082.25 : 409,692.50 = 76,090.25 : x
  2. Step 2: Convert to fraction form
    273,082.25/409,692.50 = 76,090.25/x
  3. Step 3: Cross multiply
    273,082.25x = 409,692.50 × 76,090.25
  4. Step 4: Simplify right side
    273,082.25x = 31,173,604,367.67
  5. Step 5: Solve for x
    x = 31,173,604,367.67/273,082.25
  6. Step 6: Final answer
    x = 114,154.63

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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.