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Finding the Fourth Proportional to 197,080.48, 271,970.64 and 107,656.48

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Solution

The fourth proportional to 197,080.48, 271,970.64 and 107,656.48 is: 148,565.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,080.48 : 271,970.64 = 107,656.48 : x
  2. Step 2: Convert to fraction form
    197,080.48/271,970.64 = 107,656.48/x
  3. Step 3: Cross multiply
    197,080.48x = 271,970.64 × 107,656.48
  4. Step 4: Simplify right side
    197,080.48x = 29,279,401,765.75
  5. Step 5: Solve for x
    x = 29,279,401,765.75/197,080.48
  6. Step 6: Final answer
    x = 148,565.71

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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.