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Finding the Fourth Proportional to 168,781, 232,946.94 and 101,713

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Solution

The fourth proportional to 168,781, 232,946.94 and 101,713 is: 140,381.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,781 : 232,946.94 = 101,713 : x
  2. Step 2: Convert to fraction form
    168,781/232,946.94 = 101,713/x
  3. Step 3: Cross multiply
    168,781x = 232,946.94 × 101,713
  4. Step 4: Simplify right side
    168,781x = 23,693,732,108.22
  5. Step 5: Solve for x
    x = 23,693,732,108.22/168,781
  6. Step 6: Final answer
    x = 140,381.51

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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.