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Finding the Fourth Proportional to 101,194.11, 151,764.71 and 30,097.62

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Solution

The fourth proportional to 101,194.11, 151,764.71 and 30,097.62 is: 45,138.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,194.11 : 151,764.71 = 30,097.62 : x
  2. Step 2: Convert to fraction form
    101,194.11/151,764.71 = 30,097.62/x
  3. Step 3: Cross multiply
    101,194.11x = 151,764.71 × 30,097.62
  4. Step 4: Simplify right side
    101,194.11x = 4,567,756,420.50
  5. Step 5: Solve for x
    x = 4,567,756,420.50/101,194.11
  6. Step 6: Final answer
    x = 45,138.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.