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Finding the Fourth Proportional to 205,377.89, 283,411.35 and 114,715.80

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Solution

The fourth proportional to 205,377.89, 283,411.35 and 114,715.80 is: 158,302.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,377.89 : 283,411.35 = 114,715.80 : x
  2. Step 2: Convert to fraction form
    205,377.89/283,411.35 = 114,715.80/x
  3. Step 3: Cross multiply
    205,377.89x = 283,411.35 × 114,715.80
  4. Step 4: Simplify right side
    205,377.89x = 32,511,759,744.33
  5. Step 5: Solve for x
    x = 32,511,759,744.33/205,377.89
  6. Step 6: Final answer
    x = 158,302.15

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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.