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Finding the Fourth Proportional to 237,674, 327,990.12 and 142,184.72

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Solution

The fourth proportional to 237,674, 327,990.12 and 142,184.72 is: 196,214.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,674 : 327,990.12 = 142,184.72 : x
  2. Step 2: Convert to fraction form
    237,674/327,990.12 = 142,184.72/x
  3. Step 3: Cross multiply
    237,674x = 327,990.12 × 142,184.72
  4. Step 4: Simplify right side
    237,674x = 46,635,183,374.97
  5. Step 5: Solve for x
    x = 46,635,183,374.97/237,674
  6. Step 6: Final answer
    x = 196,214.91

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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.