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Finding the Fourth Proportional to 263,792.64, 364,040.62 and 161,874.42

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Solution

The fourth proportional to 263,792.64, 364,040.62 and 161,874.42 is: 223,390.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,792.64 : 364,040.62 = 161,874.42 : x
  2. Step 2: Convert to fraction form
    263,792.64/364,040.62 = 161,874.42/x
  3. Step 3: Cross multiply
    263,792.64x = 364,040.62 × 161,874.42
  4. Step 4: Simplify right side
    263,792.64x = 58,928,862,803.42
  5. Step 5: Solve for x
    x = 58,928,862,803.42/263,792.64
  6. Step 6: Final answer
    x = 223,390.85

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Why These Related Problems?

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