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Finding the Fourth Proportional to 205,445.94, 283,543.55 and 118,229.24

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Solution

The fourth proportional to 205,445.94, 283,543.55 and 118,229.24 is: 163,172.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,445.94 : 283,543.55 = 118,229.24 : x
  2. Step 2: Convert to fraction form
    205,445.94/283,543.55 = 118,229.24/x
  3. Step 3: Cross multiply
    205,445.94x = 283,543.55 × 118,229.24
  4. Step 4: Simplify right side
    205,445.94x = 33,523,136,414.54
  5. Step 5: Solve for x
    x = 33,523,136,414.54/205,445.94
  6. Step 6: Final answer
    x = 163,172.54

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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.