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Finding the Fourth Proportional to 154,741, 232,125 and 43,933

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Solution

The fourth proportional to 154,741, 232,125 and 43,933 is: 65,903.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,741 : 232,125 = 43,933 : x
  2. Step 2: Convert to fraction form
    154,741/232,125 = 43,933/x
  3. Step 3: Cross multiply
    154,741x = 232,125 × 43,933
  4. Step 4: Simplify right side
    154,741x = 10,197,947,625
  5. Step 5: Solve for x
    x = 10,197,947,625/154,741
  6. Step 6: Final answer
    x = 65,903.33

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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.