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Finding the Fourth Proportional to 147,221.98, 203,151.07 and 82,698.46

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Solution

The fourth proportional to 147,221.98, 203,151.07 and 82,698.46 is: 114,115.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,221.98 : 203,151.07 = 82,698.46 : x
  2. Step 2: Convert to fraction form
    147,221.98/203,151.07 = 82,698.46/x
  3. Step 3: Cross multiply
    147,221.98x = 203,151.07 × 82,698.46
  4. Step 4: Simplify right side
    147,221.98x = 16,800,279,207.10
  5. Step 5: Solve for x
    x = 16,800,279,207.10/147,221.98
  6. Step 6: Final answer
    x = 114,115.30

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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.