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Finding the Fourth Proportional to 270,197.12, 405,339.72 and 83,208.62

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Solution

The fourth proportional to 270,197.12, 405,339.72 and 83,208.62 is: 124,826.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,197.12 : 405,339.72 = 83,208.62 : x
  2. Step 2: Convert to fraction form
    270,197.12/405,339.72 = 83,208.62/x
  3. Step 3: Cross multiply
    270,197.12x = 405,339.72 × 83,208.62
  4. Step 4: Simplify right side
    270,197.12x = 33,727,758,732.39
  5. Step 5: Solve for x
    x = 33,727,758,732.39/270,197.12
  6. Step 6: Final answer
    x = 124,826.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.