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Finding the Fourth Proportional to 205,277.34, 283,266.57 and 114,626.22

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Solution

The fourth proportional to 205,277.34, 283,266.57 and 114,626.22 is: 158,175.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,277.34 : 283,266.57 = 114,626.22 : x
  2. Step 2: Convert to fraction form
    205,277.34/283,266.57 = 114,626.22/x
  3. Step 3: Cross multiply
    205,277.34x = 283,266.57 × 114,626.22
  4. Step 4: Simplify right side
    205,277.34x = 32,469,776,171.47
  5. Step 5: Solve for x
    x = 32,469,776,171.47/205,277.34
  6. Step 6: Final answer
    x = 158,175.16

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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.