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Finding the Fourth Proportional to 197,031.30, 271,853.13 and 120,522.45

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Solution

The fourth proportional to 197,031.30, 271,853.13 and 120,522.45 is: 166,290.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,031.30 : 271,853.13 = 120,522.45 : x
  2. Step 2: Convert to fraction form
    197,031.30/271,853.13 = 120,522.45/x
  3. Step 3: Cross multiply
    197,031.30x = 271,853.13 × 120,522.45
  4. Step 4: Simplify right side
    197,031.30x = 32,764,405,267.77
  5. Step 5: Solve for x
    x = 32,764,405,267.77/197,031.30
  6. Step 6: Final answer
    x = 166,290.36

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