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Finding the Fourth Proportional to 307,253.22, 460,879.83 and 96,907.56

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Solution

The fourth proportional to 307,253.22, 460,879.83 and 96,907.56 is: 145,361.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,253.22 : 460,879.83 = 96,907.56 : x
  2. Step 2: Convert to fraction form
    307,253.22/460,879.83 = 96,907.56/x
  3. Step 3: Cross multiply
    307,253.22x = 460,879.83 × 96,907.56
  4. Step 4: Simplify right side
    307,253.22x = 44,662,739,778.51
  5. Step 5: Solve for x
    x = 44,662,739,778.51/307,253.22
  6. Step 6: Final answer
    x = 145,361.34

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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.