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Finding the Fourth Proportional to 204,830.29, 282,664.64 and 114,187

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Solution

The fourth proportional to 204,830.29, 282,664.64 and 114,187 is: 157,577.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,830.29 : 282,664.64 = 114,187 : x
  2. Step 2: Convert to fraction form
    204,830.29/282,664.64 = 114,187/x
  3. Step 3: Cross multiply
    204,830.29x = 282,664.64 × 114,187
  4. Step 4: Simplify right side
    204,830.29x = 32,276,627,247.68
  5. Step 5: Solve for x
    x = 32,276,627,247.68/204,830.29
  6. Step 6: Final answer
    x = 157,577.41

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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.