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Finding the Fourth Proportional to 237,709.50, 327,980.37 and 140,936.07

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Solution

The fourth proportional to 237,709.50, 327,980.37 and 140,936.07 is: 194,456.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,709.50 : 327,980.37 = 140,936.07 : x
  2. Step 2: Convert to fraction form
    237,709.50/327,980.37 = 140,936.07/x
  3. Step 3: Cross multiply
    237,709.50x = 327,980.37 × 140,936.07
  4. Step 4: Simplify right side
    237,709.50x = 46,224,264,384.95
  5. Step 5: Solve for x
    x = 46,224,264,384.95/237,709.50
  6. Step 6: Final answer
    x = 194,456.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.