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Finding the Fourth Proportional to 100,142.21, 138,190.91 and 54,811.40

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Solution

The fourth proportional to 100,142.21, 138,190.91 and 54,811.40 is: 75,636.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,142.21 : 138,190.91 = 54,811.40 : x
  2. Step 2: Convert to fraction form
    100,142.21/138,190.91 = 54,811.40/x
  3. Step 3: Cross multiply
    100,142.21x = 138,190.91 × 54,811.40
  4. Step 4: Simplify right side
    100,142.21x = 7,574,436,279.36
  5. Step 5: Solve for x
    x = 7,574,436,279.36/100,142.21
  6. Step 6: Final answer
    x = 75,636.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.