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Finding the Fourth Proportional to 100,546.78, 138,801.81 and 58,097.11

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Solution

The fourth proportional to 100,546.78, 138,801.81 and 58,097.11 is: 80,201.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,546.78 : 138,801.81 = 58,097.11 : x
  2. Step 2: Convert to fraction form
    100,546.78/138,801.81 = 58,097.11/x
  3. Step 3: Cross multiply
    100,546.78x = 138,801.81 × 58,097.11
  4. Step 4: Simplify right side
    100,546.78x = 8,063,984,023.77
  5. Step 5: Solve for x
    x = 8,063,984,023.77/100,546.78
  6. Step 6: Final answer
    x = 80,201.32

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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.