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Finding the Fourth Proportional to 151,997.82, 209,767.84 and 84,013.34

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Solution

The fourth proportional to 151,997.82, 209,767.84 and 84,013.34 is: 115,944.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,997.82 : 209,767.84 = 84,013.34 : x
  2. Step 2: Convert to fraction form
    151,997.82/209,767.84 = 84,013.34/x
  3. Step 3: Cross multiply
    151,997.82x = 209,767.84 × 84,013.34
  4. Step 4: Simplify right side
    151,997.82x = 17,623,296,862.99
  5. Step 5: Solve for x
    x = 17,623,296,862.99/151,997.82
  6. Step 6: Final answer
    x = 115,944.41

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1.5x scale

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.