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Finding the Fourth Proportional to 132,882, 199,406.01 and 53,996.20

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Solution

The fourth proportional to 132,882, 199,406.01 and 53,996.20 is: 81,028.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,882 : 199,406.01 = 53,996.20 : x
  2. Step 2: Convert to fraction form
    132,882/199,406.01 = 53,996.20/x
  3. Step 3: Cross multiply
    132,882x = 199,406.01 × 53,996.20
  4. Step 4: Simplify right side
    132,882x = 10,767,166,662.17
  5. Step 5: Solve for x
    x = 10,767,166,662.17/132,882
  6. Step 6: Final answer
    x = 81,028.03

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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.