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Finding the Fourth Proportional to 254,146.64, 350,721.24 and 145,249.16

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Solution

The fourth proportional to 254,146.64, 350,721.24 and 145,249.16 is: 200,443.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,146.64 : 350,721.24 = 145,249.16 : x
  2. Step 2: Convert to fraction form
    254,146.64/350,721.24 = 145,249.16/x
  3. Step 3: Cross multiply
    254,146.64x = 350,721.24 × 145,249.16
  4. Step 4: Simplify right side
    254,146.64x = 50,941,965,504.16
  5. Step 5: Solve for x
    x = 50,941,965,504.16/254,146.64
  6. Step 6: Final answer
    x = 200,443.20

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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.