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Finding the Fourth Proportional to 307,115.82, 460,739.32 and 107,442.72

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Solution

The fourth proportional to 307,115.82, 460,739.32 and 107,442.72 is: 161,187.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,115.82 : 460,739.32 = 107,442.72 : x
  2. Step 2: Convert to fraction form
    307,115.82/460,739.32 = 107,442.72/x
  3. Step 3: Cross multiply
    307,115.82x = 460,739.32 × 107,442.72
  4. Step 4: Simplify right side
    307,115.82x = 49,503,085,751.75
  5. Step 5: Solve for x
    x = 49,503,085,751.75/307,115.82
  6. Step 6: Final answer
    x = 161,187.03

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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.