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Finding the Fourth Proportional to 205,294.44, 283,150.22 and 176,662.34

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Solution

The fourth proportional to 205,294.44, 283,150.22 and 176,662.34 is: 243,659.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,294.44 : 283,150.22 = 176,662.34 : x
  2. Step 2: Convert to fraction form
    205,294.44/283,150.22 = 176,662.34/x
  3. Step 3: Cross multiply
    205,294.44x = 283,150.22 × 176,662.34
  4. Step 4: Simplify right side
    205,294.44x = 50,021,979,199.47
  5. Step 5: Solve for x
    x = 50,021,979,199.47/205,294.44
  6. Step 6: Final answer
    x = 243,659.69

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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.