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Finding the Fourth Proportional to 205,707.37, 283,902.43 and 115,068.37

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Solution

The fourth proportional to 205,707.37, 283,902.43 and 115,068.37 is: 158,809.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,707.37 : 283,902.43 = 115,068.37 : x
  2. Step 2: Convert to fraction form
    205,707.37/283,902.43 = 115,068.37/x
  3. Step 3: Cross multiply
    205,707.37x = 283,902.43 × 115,068.37
  4. Step 4: Simplify right side
    205,707.37x = 32,668,188,439.63
  5. Step 5: Solve for x
    x = 32,668,188,439.63/205,707.37
  6. Step 6: Final answer
    x = 158,809.04

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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.