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Finding the Fourth Proportional to 142,321.38, 196,401.99 and 78,659.34

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Solution

The fourth proportional to 142,321.38, 196,401.99 and 78,659.34 is: 108,549.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,321.38 : 196,401.99 = 78,659.34 : x
  2. Step 2: Convert to fraction form
    142,321.38/196,401.99 = 78,659.34/x
  3. Step 3: Cross multiply
    142,321.38x = 196,401.99 × 78,659.34
  4. Step 4: Simplify right side
    142,321.38x = 15,448,850,908.09
  5. Step 5: Solve for x
    x = 15,448,850,908.09/142,321.38
  6. Step 6: Final answer
    x = 108,549.05

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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.