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Finding the Fourth Proportional to 100,896.76, 151,339.50 and 30,770.56

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Solution

The fourth proportional to 100,896.76, 151,339.50 and 30,770.56 is: 46,154.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,896.76 : 151,339.50 = 30,770.56 : x
  2. Step 2: Convert to fraction form
    100,896.76/151,339.50 = 30,770.56/x
  3. Step 3: Cross multiply
    100,896.76x = 151,339.50 × 30,770.56
  4. Step 4: Simplify right side
    100,896.76x = 4,656,801,165.12
  5. Step 5: Solve for x
    x = 4,656,801,165.12/100,896.76
  6. Step 6: Final answer
    x = 46,154.12

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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.