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Finding the Fourth Proportional to 143,296.58, 197,733.54 and 82,858.07

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Solution

The fourth proportional to 143,296.58, 197,733.54 and 82,858.07 is: 114,335.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,296.58 : 197,733.54 = 82,858.07 : x
  2. Step 2: Convert to fraction form
    143,296.58/197,733.54 = 82,858.07/x
  3. Step 3: Cross multiply
    143,296.58x = 197,733.54 × 82,858.07
  4. Step 4: Simplify right side
    143,296.58x = 16,383,818,510.00
  5. Step 5: Solve for x
    x = 16,383,818,510.00/143,296.58
  6. Step 6: Final answer
    x = 114,335.03

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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.