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Finding the Fourth Proportional to 270,274.94, 405,656.96 and 144,021.86

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Solution

The fourth proportional to 270,274.94, 405,656.96 and 144,021.86 is: 216,163.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,274.94 : 405,656.96 = 144,021.86 : x
  2. Step 2: Convert to fraction form
    270,274.94/405,656.96 = 144,021.86/x
  3. Step 3: Cross multiply
    270,274.94x = 405,656.96 × 144,021.86
  4. Step 4: Simplify right side
    270,274.94x = 58,423,471,765.91
  5. Step 5: Solve for x
    x = 58,423,471,765.91/270,274.94
  6. Step 6: Final answer
    x = 216,163.11

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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.