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Finding the Fourth Proportional to 205,293.87, 283,291.43 and 113,409.09

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Solution

The fourth proportional to 205,293.87, 283,291.43 and 113,409.09 is: 156,496.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,293.87 : 283,291.43 = 113,409.09 : x
  2. Step 2: Convert to fraction form
    205,293.87/283,291.43 = 113,409.09/x
  3. Step 3: Cross multiply
    205,293.87x = 283,291.43 × 113,409.09
  4. Step 4: Simplify right side
    205,293.87x = 32,127,824,272.85
  5. Step 5: Solve for x
    x = 32,127,824,272.85/205,293.87
  6. Step 6: Final answer
    x = 156,496.75

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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.