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Finding the Fourth Proportional to 205,744.63, 308,585.77 and 55,996.59

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Solution

The fourth proportional to 205,744.63, 308,585.77 and 55,996.59 is: 83,986.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,744.63 : 308,585.77 = 55,996.59 : x
  2. Step 2: Convert to fraction form
    205,744.63/308,585.77 = 55,996.59/x
  3. Step 3: Cross multiply
    205,744.63x = 308,585.77 × 55,996.59
  4. Step 4: Simplify right side
    205,744.63x = 17,279,750,991.83
  5. Step 5: Solve for x
    x = 17,279,750,991.83/205,744.63
  6. Step 6: Final answer
    x = 83,986.40

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Why These Related Problems?

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