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Finding the Fourth Proportional to 193,967.68, 290,918.56 and 53,693.52

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Solution

The fourth proportional to 193,967.68, 290,918.56 and 53,693.52 is: 80,531.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,967.68 : 290,918.56 = 53,693.52 : x
  2. Step 2: Convert to fraction form
    193,967.68/290,918.56 = 53,693.52/x
  3. Step 3: Cross multiply
    193,967.68x = 290,918.56 × 53,693.52
  4. Step 4: Simplify right side
    193,967.68x = 15,620,441,519.73
  5. Step 5: Solve for x
    x = 15,620,441,519.73/193,967.68
  6. Step 6: Final answer
    x = 80,531.16

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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.