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Finding the Fourth Proportional to 100,190, 138,262.24 and 55,478

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Solution

The fourth proportional to 100,190, 138,262.24 and 55,478 is: 76,559.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,190 : 138,262.24 = 55,478 : x
  2. Step 2: Convert to fraction form
    100,190/138,262.24 = 55,478/x
  3. Step 3: Cross multiply
    100,190x = 138,262.24 × 55,478
  4. Step 4: Simplify right side
    100,190x = 7,670,512,550.72
  5. Step 5: Solve for x
    x = 7,670,512,550.72/100,190
  6. Step 6: Final answer
    x = 76,559.66

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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.