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Finding the Fourth Proportional to 263,777, 364,012.26 and 144,545

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Solution

The fourth proportional to 263,777, 364,012.26 and 144,545 is: 199,472.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,777 : 364,012.26 = 144,545 : x
  2. Step 2: Convert to fraction form
    263,777/364,012.26 = 144,545/x
  3. Step 3: Cross multiply
    263,777x = 364,012.26 × 144,545
  4. Step 4: Simplify right side
    263,777x = 52,616,152,121.70
  5. Step 5: Solve for x
    x = 52,616,152,121.70/263,777
  6. Step 6: Final answer
    x = 199,472.10

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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.