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Finding the Fourth Proportional to 174,853, 262,323.78 and 50,194

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Solution

The fourth proportional to 174,853, 262,323.78 and 50,194 is: 75,303.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,853 : 262,323.78 = 50,194 : x
  2. Step 2: Convert to fraction form
    174,853/262,323.78 = 50,194/x
  3. Step 3: Cross multiply
    174,853x = 262,323.78 × 50,194
  4. Step 4: Simplify right side
    174,853x = 13,167,079,813.32
  5. Step 5: Solve for x
    x = 13,167,079,813.32/174,853
  6. Step 6: Final answer
    x = 75,303.71

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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.