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Finding the Fourth Proportional to 168,776.96, 232,935.36 and 101,696

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Solution

The fourth proportional to 168,776.96, 232,935.36 and 101,696 is: 140,354.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,776.96 : 232,935.36 = 101,696 : x
  2. Step 2: Convert to fraction form
    168,776.96/232,935.36 = 101,696/x
  3. Step 3: Cross multiply
    168,776.96x = 232,935.36 × 101,696
  4. Step 4: Simplify right side
    168,776.96x = 23,688,594,370.56
  5. Step 5: Solve for x
    x = 23,688,594,370.56/168,776.96
  6. Step 6: Final answer
    x = 140,354.43

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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.