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Finding the Fourth Proportional to 193,948.80, 290,930.04 and 53,718

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Solution

The fourth proportional to 193,948.80, 290,930.04 and 53,718 is: 80,578.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,948.80 : 290,930.04 = 53,718 : x
  2. Step 2: Convert to fraction form
    193,948.80/290,930.04 = 53,718/x
  3. Step 3: Cross multiply
    193,948.80x = 290,930.04 × 53,718
  4. Step 4: Simplify right side
    193,948.80x = 15,628,179,888.72
  5. Step 5: Solve for x
    x = 15,628,179,888.72/193,948.80
  6. Step 6: Final answer
    x = 80,578.89

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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.