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Finding the Fourth Proportional to 205,377.21, 283,417.43 and 114,734.48

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Solution

The fourth proportional to 205,377.21, 283,417.43 and 114,734.48 is: 158,331.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,377.21 : 283,417.43 = 114,734.48 : x
  2. Step 2: Convert to fraction form
    205,377.21/283,417.43 = 114,734.48/x
  3. Step 3: Cross multiply
    205,377.21x = 283,417.43 × 114,734.48
  4. Step 4: Simplify right side
    205,377.21x = 32,517,749,463.23
  5. Step 5: Solve for x
    x = 32,517,749,463.23/205,377.21
  6. Step 6: Final answer
    x = 158,331.83

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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.