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Finding the Fourth Proportional to 208,782.56, 313,162.68 and 73,837.28

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Solution

The fourth proportional to 208,782.56, 313,162.68 and 73,837.28 is: 110,751.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,782.56 : 313,162.68 = 73,837.28 : x
  2. Step 2: Convert to fraction form
    208,782.56/313,162.68 = 73,837.28/x
  3. Step 3: Cross multiply
    208,782.56x = 313,162.68 × 73,837.28
  4. Step 4: Simplify right side
    208,782.56x = 23,123,080,488.71
  5. Step 5: Solve for x
    x = 23,123,080,488.71/208,782.56
  6. Step 6: Final answer
    x = 110,751.97

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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.