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Finding the Fourth Proportional to 193,807.44, 290,834.28 and 100,313.19

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Solution

The fourth proportional to 193,807.44, 290,834.28 and 100,313.19 is: 150,533.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,807.44 : 290,834.28 = 100,313.19 : x
  2. Step 2: Convert to fraction form
    193,807.44/290,834.28 = 100,313.19/x
  3. Step 3: Cross multiply
    193,807.44x = 290,834.28 × 100,313.19
  4. Step 4: Simplify right side
    193,807.44x = 29,174,514,388.15
  5. Step 5: Solve for x
    x = 29,174,514,388.15/193,807.44
  6. Step 6: Final answer
    x = 150,533.51

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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.