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Finding the Fourth Proportional to 205,671.69, 283,815.09 and 113,785.56

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Solution

The fourth proportional to 205,671.69, 283,815.09 and 113,785.56 is: 157,017.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,671.69 : 283,815.09 = 113,785.56 : x
  2. Step 2: Convert to fraction form
    205,671.69/283,815.09 = 113,785.56/x
  3. Step 3: Cross multiply
    205,671.69x = 283,815.09 × 113,785.56
  4. Step 4: Simplify right side
    205,671.69x = 32,294,058,952.10
  5. Step 5: Solve for x
    x = 32,294,058,952.10/205,671.69
  6. Step 6: Final answer
    x = 157,017.52

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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.