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Finding the Fourth Proportional to 237,608.50, 356,375.47 and 77,683.31

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Solution

The fourth proportional to 237,608.50, 356,375.47 and 77,683.31 is: 116,512.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,608.50 : 356,375.47 = 77,683.31 : x
  2. Step 2: Convert to fraction form
    237,608.50/356,375.47 = 77,683.31/x
  3. Step 3: Cross multiply
    237,608.50x = 356,375.47 × 77,683.31
  4. Step 4: Simplify right side
    237,608.50x = 27,684,426,112.41
  5. Step 5: Solve for x
    x = 27,684,426,112.41/237,608.50
  6. Step 6: Final answer
    x = 116,512.78

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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.