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Finding the Fourth Proportional to 205,146.74, 283,116.77 and 114,520.40

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Solution

The fourth proportional to 205,146.74, 283,116.77 and 114,520.40 is: 158,046.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,146.74 : 283,116.77 = 114,520.40 : x
  2. Step 2: Convert to fraction form
    205,146.74/283,116.77 = 114,520.40/x
  3. Step 3: Cross multiply
    205,146.74x = 283,116.77 × 114,520.40
  4. Step 4: Simplify right side
    205,146.74x = 32,422,645,250.06
  5. Step 5: Solve for x
    x = 32,422,645,250.06/205,146.74
  6. Step 6: Final answer
    x = 158,046.11

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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.