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Finding the Fourth Proportional to 142,796.14, 213,853.73 and 82,697.63

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Solution

The fourth proportional to 142,796.14, 213,853.73 and 82,697.63 is: 123,849.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,796.14 : 213,853.73 = 82,697.63 : x
  2. Step 2: Convert to fraction form
    142,796.14/213,853.73 = 82,697.63/x
  3. Step 3: Cross multiply
    142,796.14x = 213,853.73 × 82,697.63
  4. Step 4: Simplify right side
    142,796.14x = 17,685,197,195.63
  5. Step 5: Solve for x
    x = 17,685,197,195.63/142,796.14
  6. Step 6: Final answer
    x = 123,849.27

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1.5x scale

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.