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Finding the Fourth Proportional to 237,574.44, 327,843 and 142,024.68

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Solution

The fourth proportional to 237,574.44, 327,843 and 142,024.68 is: 195,988.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,574.44 : 327,843 = 142,024.68 : x
  2. Step 2: Convert to fraction form
    237,574.44/327,843 = 142,024.68/x
  3. Step 3: Cross multiply
    237,574.44x = 327,843 × 142,024.68
  4. Step 4: Simplify right side
    237,574.44x = 46,561,797,165.24
  5. Step 5: Solve for x
    x = 46,561,797,165.24/237,574.44
  6. Step 6: Final answer
    x = 195,988.24

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