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Finding the Fourth Proportional to 140,971.88, 194,539.38 and 80,542.06

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Solution

The fourth proportional to 140,971.88, 194,539.38 and 80,542.06 is: 111,147.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,971.88 : 194,539.38 = 80,542.06 : x
  2. Step 2: Convert to fraction form
    140,971.88/194,539.38 = 80,542.06/x
  3. Step 3: Cross multiply
    140,971.88x = 194,539.38 × 80,542.06
  4. Step 4: Simplify right side
    140,971.88x = 15,668,602,416.32
  5. Step 5: Solve for x
    x = 15,668,602,416.32/140,971.88
  6. Step 6: Final answer
    x = 111,147.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.