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Finding the Fourth Proportional to 237,758.42, 356,692.30 and 77,839.52

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Solution

The fourth proportional to 237,758.42, 356,692.30 and 77,839.52 is: 116,777.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,758.42 : 356,692.30 = 77,839.52 : x
  2. Step 2: Convert to fraction form
    237,758.42/356,692.30 = 77,839.52/x
  3. Step 3: Cross multiply
    237,758.42x = 356,692.30 × 77,839.52
  4. Step 4: Simplify right side
    237,758.42x = 27,764,757,419.70
  5. Step 5: Solve for x
    x = 27,764,757,419.70/237,758.42
  6. Step 6: Final answer
    x = 116,777.18

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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.