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Finding the Fourth Proportional to 205,496.17, 283,573.33 and 114,834.09

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Solution

The fourth proportional to 205,496.17, 283,573.33 and 114,834.09 is: 158,464.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,496.17 : 283,573.33 = 114,834.09 : x
  2. Step 2: Convert to fraction form
    205,496.17/283,573.33 = 114,834.09/x
  3. Step 3: Cross multiply
    205,496.17x = 283,573.33 × 114,834.09
  4. Step 4: Simplify right side
    205,496.17x = 32,563,885,298.82
  5. Step 5: Solve for x
    x = 32,563,885,298.82/205,496.17
  6. Step 6: Final answer
    x = 158,464.68

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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.