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Finding the Fourth Proportional to 193,633.20, 290,449.80 and 144,481.20

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Solution

The fourth proportional to 193,633.20, 290,449.80 and 144,481.20 is: 216,721.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,633.20 : 290,449.80 = 144,481.20 : x
  2. Step 2: Convert to fraction form
    193,633.20/290,449.80 = 144,481.20/x
  3. Step 3: Cross multiply
    193,633.20x = 290,449.80 × 144,481.20
  4. Step 4: Simplify right side
    193,633.20x = 41,964,535,643.76
  5. Step 5: Solve for x
    x = 41,964,535,643.76/193,633.20
  6. Step 6: Final answer
    x = 216,721.80

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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.