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Finding the Fourth Proportional to 154,122, 231,183 and 43,314

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Solution

The fourth proportional to 154,122, 231,183 and 43,314 is: 64,971

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,122 : 231,183 = 43,314 : x
  2. Step 2: Convert to fraction form
    154,122/231,183 = 43,314/x
  3. Step 3: Cross multiply
    154,122x = 231,183 × 43,314
  4. Step 4: Simplify right side
    154,122x = 10,013,460,462
  5. Step 5: Solve for x
    x = 10,013,460,462/154,122
  6. Step 6: Final answer
    x = 64,971

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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.