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Finding the Fourth Proportional to 270,576.20, 405,420.98 and 144,082.14

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Solution

The fourth proportional to 270,576.20, 405,420.98 and 144,082.14 is: 215,887.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,576.20 : 405,420.98 = 144,082.14 : x
  2. Step 2: Convert to fraction form
    270,576.20/405,420.98 = 144,082.14/x
  3. Step 3: Cross multiply
    270,576.20x = 405,420.98 × 144,082.14
  4. Step 4: Simplify right side
    270,576.20x = 58,413,922,399.30
  5. Step 5: Solve for x
    x = 58,413,922,399.30/270,576.20
  6. Step 6: Final answer
    x = 215,887.14

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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.