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Finding the Fourth Proportional to 237,678, 356,596.38 and 77,761.20

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Solution

The fourth proportional to 237,678, 356,596.38 and 77,761.20 is: 116,667.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,678 : 356,596.38 = 77,761.20 : x
  2. Step 2: Convert to fraction form
    237,678/356,596.38 = 77,761.20/x
  3. Step 3: Cross multiply
    237,678x = 356,596.38 × 77,761.20
  4. Step 4: Simplify right side
    237,678x = 27,729,362,424.46
  5. Step 5: Solve for x
    x = 27,729,362,424.46/237,678
  6. Step 6: Final answer
    x = 116,667.77

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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.