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Finding the Fourth Proportional to 237,755.41, 356,687.80 and 77,836.51

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Solution

The fourth proportional to 237,755.41, 356,687.80 and 77,836.51 is: 116,772.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,755.41 : 356,687.80 = 77,836.51 : x
  2. Step 2: Convert to fraction form
    237,755.41/356,687.80 = 77,836.51/x
  3. Step 3: Cross multiply
    237,755.41x = 356,687.80 × 77,836.51
  4. Step 4: Simplify right side
    237,755.41x = 27,763,332,203.34
  5. Step 5: Solve for x
    x = 27,763,332,203.34/237,755.41
  6. Step 6: Final answer
    x = 116,772.66

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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.