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Finding the Fourth Proportional to 193,851.56, 290,682.50 and 79,978.20

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Solution

The fourth proportional to 193,851.56, 290,682.50 and 79,978.20 is: 119,928.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,851.56 : 290,682.50 = 79,978.20 : x
  2. Step 2: Convert to fraction form
    193,851.56/290,682.50 = 79,978.20/x
  3. Step 3: Cross multiply
    193,851.56x = 290,682.50 × 79,978.20
  4. Step 4: Simplify right side
    193,851.56x = 23,248,263,121.50
  5. Step 5: Solve for x
    x = 23,248,263,121.50/193,851.56
  6. Step 6: Final answer
    x = 119,928.17

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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.