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Finding the Fourth Proportional to 205,813.36, 284,014.68 and 116,391.28

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Solution

The fourth proportional to 205,813.36, 284,014.68 and 116,391.28 is: 160,615.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,813.36 : 284,014.68 = 116,391.28 : x
  2. Step 2: Convert to fraction form
    205,813.36/284,014.68 = 116,391.28/x
  3. Step 3: Cross multiply
    205,813.36x = 284,014.68 × 116,391.28
  4. Step 4: Simplify right side
    205,813.36x = 33,056,832,143.99
  5. Step 5: Solve for x
    x = 33,056,832,143.99/205,813.36
  6. Step 6: Final answer
    x = 160,615.58

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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.