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Finding the Fourth Proportional to 270,368.99, 405,797.24 and 144,114.39

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Solution

The fourth proportional to 270,368.99, 405,797.24 and 144,114.39 is: 216,301.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,368.99 : 405,797.24 = 144,114.39 : x
  2. Step 2: Convert to fraction form
    270,368.99/405,797.24 = 144,114.39/x
  3. Step 3: Cross multiply
    270,368.99x = 405,797.24 × 144,114.39
  4. Step 4: Simplify right side
    270,368.99x = 58,481,222,066.57
  5. Step 5: Solve for x
    x = 58,481,222,066.57/270,368.99
  6. Step 6: Final answer
    x = 216,301.52

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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.