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Finding the Fourth Proportional to 254,585.36, 381,986.04 and 136,226

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Solution

The fourth proportional to 254,585.36, 381,986.04 and 136,226 is: 204,396.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,585.36 : 381,986.04 = 136,226 : x
  2. Step 2: Convert to fraction form
    254,585.36/381,986.04 = 136,226/x
  3. Step 3: Cross multiply
    254,585.36x = 381,986.04 × 136,226
  4. Step 4: Simplify right side
    254,585.36x = 52,036,430,285.04
  5. Step 5: Solve for x
    x = 52,036,430,285.04/254,585.36
  6. Step 6: Final answer
    x = 204,396.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.