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Finding the Fourth Proportional to 205,365.83, 283,403.49 and 114,721.00

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Solution

The fourth proportional to 205,365.83, 283,403.49 and 114,721.00 is: 158,314.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,365.83 : 283,403.49 = 114,721.00 : x
  2. Step 2: Convert to fraction form
    205,365.83/283,403.49 = 114,721.00/x
  3. Step 3: Cross multiply
    205,365.83x = 283,403.49 × 114,721.00
  4. Step 4: Simplify right side
    205,365.83x = 32,512,331,497.99
  5. Step 5: Solve for x
    x = 32,512,331,497.99/205,365.83
  6. Step 6: Final answer
    x = 158,314.23

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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.