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Finding the Fourth Proportional to 149,097.20, 205,754.12 and 82,029.20

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Solution

The fourth proportional to 149,097.20, 205,754.12 and 82,029.20 is: 113,200.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,097.20 : 205,754.12 = 82,029.20 : x
  2. Step 2: Convert to fraction form
    149,097.20/205,754.12 = 82,029.20/x
  3. Step 3: Cross multiply
    149,097.20x = 205,754.12 × 82,029.20
  4. Step 4: Simplify right side
    149,097.20x = 16,877,844,421.39
  5. Step 5: Solve for x
    x = 16,877,844,421.39/149,097.20
  6. Step 6: Final answer
    x = 113,200.28

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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.