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Finding the Fourth Proportional to 263,763.86, 395,195.02 and 188,499.47

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Solution

The fourth proportional to 263,763.86, 395,195.02 and 188,499.47 is: 282,427.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,763.86 : 395,195.02 = 188,499.47 : x
  2. Step 2: Convert to fraction form
    263,763.86/395,195.02 = 188,499.47/x
  3. Step 3: Cross multiply
    263,763.86x = 395,195.02 × 188,499.47
  4. Step 4: Simplify right side
    263,763.86x = 74,494,048,898.17
  5. Step 5: Solve for x
    x = 74,494,048,898.17/263,763.86
  6. Step 6: Final answer
    x = 282,427.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.