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Finding the Fourth Proportional to 101,742.64, 140,397.24 and 57,022

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Solution

The fourth proportional to 101,742.64, 140,397.24 and 57,022 is: 78,686.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,742.64 : 140,397.24 = 57,022 : x
  2. Step 2: Convert to fraction form
    101,742.64/140,397.24 = 57,022/x
  3. Step 3: Cross multiply
    101,742.64x = 140,397.24 × 57,022
  4. Step 4: Simplify right side
    101,742.64x = 8,005,731,419.28
  5. Step 5: Solve for x
    x = 8,005,731,419.28/101,742.64
  6. Step 6: Final answer
    x = 78,686.10

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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.