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Finding the Fourth Proportional to 270,360.85, 405,786.39 and 144,107.14

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Solution

The fourth proportional to 270,360.85, 405,786.39 and 144,107.14 is: 216,291.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,360.85 : 405,786.39 = 144,107.14 : x
  2. Step 2: Convert to fraction form
    270,360.85/405,786.39 = 144,107.14/x
  3. Step 3: Cross multiply
    270,360.85x = 405,786.39 × 144,107.14
  4. Step 4: Simplify right side
    270,360.85x = 58,476,716,113.82
  5. Step 5: Solve for x
    x = 58,476,716,113.82/270,360.85
  6. Step 6: Final answer
    x = 216,291.36

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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.