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Finding the Fourth Proportional to 205,567.26, 283,730.22 and 133,822.32

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Solution

The fourth proportional to 205,567.26, 283,730.22 and 133,822.32 is: 184,705.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,567.26 : 283,730.22 = 133,822.32 : x
  2. Step 2: Convert to fraction form
    205,567.26/283,730.22 = 133,822.32/x
  3. Step 3: Cross multiply
    205,567.26x = 283,730.22 × 133,822.32
  4. Step 4: Simplify right side
    205,567.26x = 37,969,436,294.51
  5. Step 5: Solve for x
    x = 37,969,436,294.51/205,567.26
  6. Step 6: Final answer
    x = 184,705.66

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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.