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Finding the Fourth Proportional to 270,584.55, 405,756.84 and 144,201.24

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Solution

The fourth proportional to 270,584.55, 405,756.84 and 144,201.24 is: 216,237.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,584.55 : 405,756.84 = 144,201.24 : x
  2. Step 2: Convert to fraction form
    270,584.55/405,756.84 = 144,201.24/x
  3. Step 3: Cross multiply
    270,584.55x = 405,756.84 × 144,201.24
  4. Step 4: Simplify right side
    270,584.55x = 58,510,639,466.48
  5. Step 5: Solve for x
    x = 58,510,639,466.48/270,584.55
  6. Step 6: Final answer
    x = 216,237.92

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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.