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Finding the Fourth Proportional to 100,081.64, 138,096.42 and 55,361

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Solution

The fourth proportional to 100,081.64, 138,096.42 and 55,361 is: 76,389.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,081.64 : 138,096.42 = 55,361 : x
  2. Step 2: Convert to fraction form
    100,081.64/138,096.42 = 55,361/x
  3. Step 3: Cross multiply
    100,081.64x = 138,096.42 × 55,361
  4. Step 4: Simplify right side
    100,081.64x = 7,645,155,907.62
  5. Step 5: Solve for x
    x = 7,645,155,907.62/100,081.64
  6. Step 6: Final answer
    x = 76,389.19

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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.