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Finding the Fourth Proportional to 237,384, 327,589.92 and 136,814.40

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Solution

The fourth proportional to 237,384, 327,589.92 and 136,814.40 is: 188,803.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,384 : 327,589.92 = 136,814.40 : x
  2. Step 2: Convert to fraction form
    237,384/327,589.92 = 136,814.40/x
  3. Step 3: Cross multiply
    237,384x = 327,589.92 × 136,814.40
  4. Step 4: Simplify right side
    237,384x = 44,819,018,350.85
  5. Step 5: Solve for x
    x = 44,819,018,350.85/237,384
  6. Step 6: Final answer
    x = 188,803.87

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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.