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Finding the Fourth Proportional to 205,969.89, 284,230.57 and 115,317.38

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Solution

The fourth proportional to 205,969.89, 284,230.57 and 115,317.38 is: 159,133.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,969.89 : 284,230.57 = 115,317.38 : x
  2. Step 2: Convert to fraction form
    205,969.89/284,230.57 = 115,317.38/x
  3. Step 3: Cross multiply
    205,969.89x = 284,230.57 × 115,317.38
  4. Step 4: Simplify right side
    205,969.89x = 32,776,724,648.31
  5. Step 5: Solve for x
    x = 32,776,724,648.31/205,969.89
  6. Step 6: Final answer
    x = 159,133.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.