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Finding the Fourth Proportional to 205,380.90, 283,415.48 and 114,718.80

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Solution

The fourth proportional to 205,380.90, 283,415.48 and 114,718.80 is: 158,306.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,380.90 : 283,415.48 = 114,718.80 : x
  2. Step 2: Convert to fraction form
    205,380.90/283,415.48 = 114,718.80/x
  3. Step 3: Cross multiply
    205,380.90x = 283,415.48 × 114,718.80
  4. Step 4: Simplify right side
    205,380.90x = 32,513,083,193.43
  5. Step 5: Solve for x
    x = 32,513,083,193.43/205,380.90
  6. Step 6: Final answer
    x = 158,306.27

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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.