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Finding the Fourth Proportional to 201,142.80, 301,908.60 and 122,410.80

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Solution

The fourth proportional to 201,142.80, 301,908.60 and 122,410.80 is: 183,734.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,142.80 : 301,908.60 = 122,410.80 : x
  2. Step 2: Convert to fraction form
    201,142.80/301,908.60 = 122,410.80/x
  3. Step 3: Cross multiply
    201,142.80x = 301,908.60 × 122,410.80
  4. Step 4: Simplify right side
    201,142.80x = 36,956,873,252.88
  5. Step 5: Solve for x
    x = 36,956,873,252.88/201,142.80
  6. Step 6: Final answer
    x = 183,734.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.