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Finding the Fourth Proportional to 307,640.10, 461,719.35 and 150,003.30

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Solution

The fourth proportional to 307,640.10, 461,719.35 and 150,003.30 is: 225,131.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,640.10 : 461,719.35 = 150,003.30 : x
  2. Step 2: Convert to fraction form
    307,640.10/461,719.35 = 150,003.30/x
  3. Step 3: Cross multiply
    307,640.10x = 461,719.35 × 150,003.30
  4. Step 4: Simplify right side
    307,640.10x = 69,259,426,173.86
  5. Step 5: Solve for x
    x = 69,259,426,173.86/307,640.10
  6. Step 6: Final answer
    x = 225,131.33

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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.