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Finding the Fourth Proportional to 101,738.64, 140,391.72 and 57,018

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Solution

The fourth proportional to 101,738.64, 140,391.72 and 57,018 is: 78,680.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,738.64 : 140,391.72 = 57,018 : x
  2. Step 2: Convert to fraction form
    101,738.64/140,391.72 = 57,018/x
  3. Step 3: Cross multiply
    101,738.64x = 140,391.72 × 57,018
  4. Step 4: Simplify right side
    101,738.64x = 8,004,855,090.96
  5. Step 5: Solve for x
    x = 8,004,855,090.96/101,738.64
  6. Step 6: Final answer
    x = 78,680.58

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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.