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Finding the Fourth Proportional to 263,990.64, 364,607.78 and 178,960.08

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Solution

The fourth proportional to 263,990.64, 364,607.78 and 178,960.08 is: 247,168.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,990.64 : 364,607.78 = 178,960.08 : x
  2. Step 2: Convert to fraction form
    263,990.64/364,607.78 = 178,960.08/x
  3. Step 3: Cross multiply
    263,990.64x = 364,607.78 × 178,960.08
  4. Step 4: Simplify right side
    263,990.64x = 65,250,237,477.42
  5. Step 5: Solve for x
    x = 65,250,237,477.42/263,990.64
  6. Step 6: Final answer
    x = 247,168.75

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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.