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Finding the Fourth Proportional to 100,273.14, 150,412.14 and 30,152.52

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Solution

The fourth proportional to 100,273.14, 150,412.14 and 30,152.52 is: 45,229.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,273.14 : 150,412.14 = 30,152.52 : x
  2. Step 2: Convert to fraction form
    100,273.14/150,412.14 = 30,152.52/x
  3. Step 3: Cross multiply
    100,273.14x = 150,412.14 × 30,152.52
  4. Step 4: Simplify right side
    100,273.14x = 4,535,305,059.59
  5. Step 5: Solve for x
    x = 4,535,305,059.59/100,273.14
  6. Step 6: Final answer
    x = 45,229.51

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Why These Related Problems?

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