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Finding the Fourth Proportional to 202,086.55, 302,736.03 and 123,004.63

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Solution

The fourth proportional to 202,086.55, 302,736.03 and 123,004.63 is: 184,267.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,086.55 : 302,736.03 = 123,004.63 : x
  2. Step 2: Convert to fraction form
    202,086.55/302,736.03 = 123,004.63/x
  3. Step 3: Cross multiply
    202,086.55x = 302,736.03 × 123,004.63
  4. Step 4: Simplify right side
    202,086.55x = 37,237,933,357.82
  5. Step 5: Solve for x
    x = 37,237,933,357.82/202,086.55
  6. Step 6: Final answer
    x = 184,267.25

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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.