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Finding the Fourth Proportional to 205,395.21, 283,435.29 and 114,733.17

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Solution

The fourth proportional to 205,395.21, 283,435.29 and 114,733.17 is: 158,326.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,395.21 : 283,435.29 = 114,733.17 : x
  2. Step 2: Convert to fraction form
    205,395.21/283,435.29 = 114,733.17/x
  3. Step 3: Cross multiply
    205,395.21x = 283,435.29 × 114,733.17
  4. Step 4: Simplify right side
    205,395.21x = 32,519,429,311.57
  5. Step 5: Solve for x
    x = 32,519,429,311.57/205,395.21
  6. Step 6: Final answer
    x = 158,326.13

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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.