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Finding the Fourth Proportional to 264,081, 364,431.78 and 144,846.44

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Solution

The fourth proportional to 264,081, 364,431.78 and 144,846.44 is: 199,888.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,081 : 364,431.78 = 144,846.44 : x
  2. Step 2: Convert to fraction form
    264,081/364,431.78 = 144,846.44/x
  3. Step 3: Cross multiply
    264,081x = 364,431.78 × 144,846.44
  4. Step 4: Simplify right side
    264,081x = 52,786,645,955.86
  5. Step 5: Solve for x
    x = 52,786,645,955.86/264,081
  6. Step 6: Final answer
    x = 199,888.09

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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.