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Finding the Fourth Proportional to 168,774, 232,937.28 and 101,706

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Solution

The fourth proportional to 168,774, 232,937.28 and 101,706 is: 140,371.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,774 : 232,937.28 = 101,706 : x
  2. Step 2: Convert to fraction form
    168,774/232,937.28 = 101,706/x
  3. Step 3: Cross multiply
    168,774x = 232,937.28 × 101,706
  4. Step 4: Simplify right side
    168,774x = 23,691,118,999.68
  5. Step 5: Solve for x
    x = 23,691,118,999.68/168,774
  6. Step 6: Final answer
    x = 140,371.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.