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Finding the Fourth Proportional to 205,245.60, 283,275.76 and 122,464.88

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Solution

The fourth proportional to 205,245.60, 283,275.76 and 122,464.88 is: 169,023.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,245.60 : 283,275.76 = 122,464.88 : x
  2. Step 2: Convert to fraction form
    205,245.60/283,275.76 = 122,464.88/x
  3. Step 3: Cross multiply
    205,245.60x = 283,275.76 × 122,464.88
  4. Step 4: Simplify right side
    205,245.60x = 34,691,331,955.31
  5. Step 5: Solve for x
    x = 34,691,331,955.31/205,245.60
  6. Step 6: Final answer
    x = 169,023.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.