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Finding the Fourth Proportional to 132,029.80, 198,020.40 and 82,020.40

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Solution

The fourth proportional to 132,029.80, 198,020.40 and 82,020.40 is: 123,015.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,029.80 : 198,020.40 = 82,020.40 : x
  2. Step 2: Convert to fraction form
    132,029.80/198,020.40 = 82,020.40/x
  3. Step 3: Cross multiply
    132,029.80x = 198,020.40 × 82,020.40
  4. Step 4: Simplify right side
    132,029.80x = 16,241,712,416.16
  5. Step 5: Solve for x
    x = 16,241,712,416.16/132,029.80
  6. Step 6: Final answer
    x = 123,015.50

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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.