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Finding the Fourth Proportional to 132,013.80, 197,996.40 and 82,004.40

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Solution

The fourth proportional to 132,013.80, 197,996.40 and 82,004.40 is: 122,991.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,013.80 : 197,996.40 = 82,004.40 : x
  2. Step 2: Convert to fraction form
    132,013.80/197,996.40 = 82,004.40/x
  3. Step 3: Cross multiply
    132,013.80x = 197,996.40 × 82,004.40
  4. Step 4: Simplify right side
    132,013.80x = 16,236,575,984.16
  5. Step 5: Solve for x
    x = 16,236,575,984.16/132,013.80
  6. Step 6: Final answer
    x = 122,991.51

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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.