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Finding the Fourth Proportional to 183,008, 252,378.24 and 119,394.56

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Solution

The fourth proportional to 183,008, 252,378.24 and 119,394.56 is: 164,651.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,008 : 252,378.24 = 119,394.56 : x
  2. Step 2: Convert to fraction form
    183,008/252,378.24 = 119,394.56/x
  3. Step 3: Cross multiply
    183,008x = 252,378.24 × 119,394.56
  4. Step 4: Simplify right side
    183,008x = 30,132,588,918.37
  5. Step 5: Solve for x
    x = 30,132,588,918.37/183,008
  6. Step 6: Final answer
    x = 164,651.76

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Why These Related Problems?

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