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Finding the Fourth Proportional to 205,744.35, 308,585.35 and 55,996.31

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Solution

The fourth proportional to 205,744.35, 308,585.35 and 55,996.31 is: 83,985.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,744.35 : 308,585.35 = 55,996.31 : x
  2. Step 2: Convert to fraction form
    205,744.35/308,585.35 = 55,996.31/x
  3. Step 3: Cross multiply
    205,744.35x = 308,585.35 × 55,996.31
  4. Step 4: Simplify right side
    205,744.35x = 17,279,641,446.54
  5. Step 5: Solve for x
    x = 17,279,641,446.54/205,744.35
  6. Step 6: Final answer
    x = 83,985.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.