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Finding the Fourth Proportional to 217,798.23, 326,709.63 and 77,556.87

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Solution

The fourth proportional to 217,798.23, 326,709.63 and 77,556.87 is: 116,339.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,798.23 : 326,709.63 = 77,556.87 : x
  2. Step 2: Convert to fraction form
    217,798.23/326,709.63 = 77,556.87/x
  3. Step 3: Cross multiply
    217,798.23x = 326,709.63 × 77,556.87
  4. Step 4: Simplify right side
    217,798.23x = 25,338,576,301.66
  5. Step 5: Solve for x
    x = 25,338,576,301.66/217,798.23
  6. Step 6: Final answer
    x = 116,339.68

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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.