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Finding the Fourth Proportional to 307,115.22, 460,738.44 and 107,442.12

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Solution

The fourth proportional to 307,115.22, 460,738.44 and 107,442.12 is: 161,186.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,115.22 : 460,738.44 = 107,442.12 : x
  2. Step 2: Convert to fraction form
    307,115.22/460,738.44 = 107,442.12/x
  3. Step 3: Cross multiply
    307,115.22x = 460,738.44 × 107,442.12
  4. Step 4: Simplify right side
    307,115.22x = 49,502,714,759.09
  5. Step 5: Solve for x
    x = 49,502,714,759.09/307,115.22
  6. Step 6: Final answer
    x = 161,186.13

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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.