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Finding the Fourth Proportional to 205,004.34, 282,906.45 and 114,358.05

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Solution

The fourth proportional to 205,004.34, 282,906.45 and 114,358.05 is: 157,814.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,004.34 : 282,906.45 = 114,358.05 : x
  2. Step 2: Convert to fraction form
    205,004.34/282,906.45 = 114,358.05/x
  3. Step 3: Cross multiply
    205,004.34x = 282,906.45 × 114,358.05
  4. Step 4: Simplify right side
    205,004.34x = 32,352,629,954.42
  5. Step 5: Solve for x
    x = 32,352,629,954.42/205,004.34
  6. Step 6: Final answer
    x = 157,814.37

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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.