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Finding the Fourth Proportional to 215,997.50, 298,075.74 and 120,498.50

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Solution

The fourth proportional to 215,997.50, 298,075.74 and 120,498.50 is: 166,287.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,997.50 : 298,075.74 = 120,498.50 : x
  2. Step 2: Convert to fraction form
    215,997.50/298,075.74 = 120,498.50/x
  3. Step 3: Cross multiply
    215,997.50x = 298,075.74 × 120,498.50
  4. Step 4: Simplify right side
    215,997.50x = 35,917,679,556.39
  5. Step 5: Solve for x
    x = 35,917,679,556.39/215,997.50
  6. Step 6: Final answer
    x = 166,287.48

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