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Finding the Fourth Proportional to 193,634.20, 290,451.30 and 144,482.20

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Solution

The fourth proportional to 193,634.20, 290,451.30 and 144,482.20 is: 216,723.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,634.20 : 290,451.30 = 144,482.20 : x
  2. Step 2: Convert to fraction form
    193,634.20/290,451.30 = 144,482.20/x
  3. Step 3: Cross multiply
    193,634.20x = 290,451.30 × 144,482.20
  4. Step 4: Simplify right side
    193,634.20x = 41,965,042,816.86
  5. Step 5: Solve for x
    x = 41,965,042,816.86/193,634.20
  6. Step 6: Final answer
    x = 216,723.30

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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.