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Finding the Fourth Proportional to 263,968, 364,277.76 and 144,736

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Solution

The fourth proportional to 263,968, 364,277.76 and 144,736 is: 199,736.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,968 : 364,277.76 = 144,736 : x
  2. Step 2: Convert to fraction form
    263,968/364,277.76 = 144,736/x
  3. Step 3: Cross multiply
    263,968x = 364,277.76 × 144,736
  4. Step 4: Simplify right side
    263,968x = 52,724,105,871.36
  5. Step 5: Solve for x
    x = 52,724,105,871.36/263,968
  6. Step 6: Final answer
    x = 199,736.73

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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.