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Finding the Fourth Proportional to 205,494.41, 282,493.30 and 176,708.63

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Solution

The fourth proportional to 205,494.41, 282,493.30 and 176,708.63 is: 242,921.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,494.41 : 282,493.30 = 176,708.63 : x
  2. Step 2: Convert to fraction form
    205,494.41/282,493.30 = 176,708.63/x
  3. Step 3: Cross multiply
    205,494.41x = 282,493.30 × 176,708.63
  4. Step 4: Simplify right side
    205,494.41x = 49,919,004,027.18
  5. Step 5: Solve for x
    x = 49,919,004,027.18/205,494.41
  6. Step 6: Final answer
    x = 242,921.47

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.