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Finding the Fourth Proportional to 270,609.26, 405,793.89 and 144,225.95

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Solution

The fourth proportional to 270,609.26, 405,793.89 and 144,225.95 is: 216,274.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,609.26 : 405,793.89 = 144,225.95 : x
  2. Step 2: Convert to fraction form
    270,609.26/405,793.89 = 144,225.95/x
  3. Step 3: Cross multiply
    270,609.26x = 405,793.89 × 144,225.95
  4. Step 4: Simplify right side
    270,609.26x = 58,526,009,289.45
  5. Step 5: Solve for x
    x = 58,526,009,289.45/270,609.26
  6. Step 6: Final answer
    x = 216,274.97

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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.