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Finding the Fourth Proportional to 201,889.20, 302,833.80 and 123,157.20

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Solution

The fourth proportional to 201,889.20, 302,833.80 and 123,157.20 is: 184,735.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,889.20 : 302,833.80 = 123,157.20 : x
  2. Step 2: Convert to fraction form
    201,889.20/302,833.80 = 123,157.20/x
  3. Step 3: Cross multiply
    201,889.20x = 302,833.80 × 123,157.20
  4. Step 4: Simplify right side
    201,889.20x = 37,296,162,873.36
  5. Step 5: Solve for x
    x = 37,296,162,873.36/201,889.20
  6. Step 6: Final answer
    x = 184,735.80

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Why These Related Problems?

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