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Finding the Fourth Proportional to 106,538.36, 147,023.48 and 58,791.76

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Solution

The fourth proportional to 106,538.36, 147,023.48 and 58,791.76 is: 81,132.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,538.36 : 147,023.48 = 58,791.76 : x
  2. Step 2: Convert to fraction form
    106,538.36/147,023.48 = 58,791.76/x
  3. Step 3: Cross multiply
    106,538.36x = 147,023.48 × 58,791.76
  4. Step 4: Simplify right side
    106,538.36x = 8,643,769,150.52
  5. Step 5: Solve for x
    x = 8,643,769,150.52/106,538.36
  6. Step 6: Final answer
    x = 81,132.93

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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.