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Finding the Fourth Proportional to 205,478.80, 308,218.18 and 55,713.04

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Solution

The fourth proportional to 205,478.80, 308,218.18 and 55,713.04 is: 83,569.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,478.80 : 308,218.18 = 55,713.04 : x
  2. Step 2: Convert to fraction form
    205,478.80/308,218.18 = 55,713.04/x
  3. Step 3: Cross multiply
    205,478.80x = 308,218.18 × 55,713.04
  4. Step 4: Simplify right side
    205,478.80x = 17,171,771,791.07
  5. Step 5: Solve for x
    x = 17,171,771,791.07/205,478.80
  6. Step 6: Final answer
    x = 83,569.55

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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.