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Finding the Fourth Proportional to 201,933.20, 302,316.60 and 123,201.20

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Solution

The fourth proportional to 201,933.20, 302,316.60 and 123,201.20 is: 184,445.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,933.20 : 302,316.60 = 123,201.20 : x
  2. Step 2: Convert to fraction form
    201,933.20/302,316.60 = 123,201.20/x
  3. Step 3: Cross multiply
    201,933.20x = 302,316.60 × 123,201.20
  4. Step 4: Simplify right side
    201,933.20x = 37,245,767,899.92
  5. Step 5: Solve for x
    x = 37,245,767,899.92/201,933.20
  6. Step 6: Final answer
    x = 184,445.98

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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.