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Finding the Fourth Proportional to 205,449.20, 308,167.32 and 121,782.68

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Solution

The fourth proportional to 205,449.20, 308,167.32 and 121,782.68 is: 182,670.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,449.20 : 308,167.32 = 121,782.68 : x
  2. Step 2: Convert to fraction form
    205,449.20/308,167.32 = 121,782.68/x
  3. Step 3: Cross multiply
    205,449.20x = 308,167.32 × 121,782.68
  4. Step 4: Simplify right side
    205,449.20x = 37,529,442,118.02
  5. Step 5: Solve for x
    x = 37,529,442,118.02/205,449.20
  6. Step 6: Final answer
    x = 182,670.18

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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.