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Finding the Fourth Proportional to 100,269.26, 150,406.51 and 29,189.02

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Solution

The fourth proportional to 100,269.26, 150,406.51 and 29,189.02 is: 43,784.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,269.26 : 150,406.51 = 29,189.02 : x
  2. Step 2: Convert to fraction form
    100,269.26/150,406.51 = 29,189.02/x
  3. Step 3: Cross multiply
    100,269.26x = 150,406.51 × 29,189.02
  4. Step 4: Simplify right side
    100,269.26x = 4,390,218,628.52
  5. Step 5: Solve for x
    x = 4,390,218,628.52/100,269.26
  6. Step 6: Final answer
    x = 43,784.29

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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.