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Finding the Fourth Proportional to 213,370.74, 320,256.99 and 108,265.14

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Solution

The fourth proportional to 213,370.74, 320,256.99 and 108,265.14 is: 162,499.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,370.74 : 320,256.99 = 108,265.14 : x
  2. Step 2: Convert to fraction form
    213,370.74/320,256.99 = 108,265.14/x
  3. Step 3: Cross multiply
    213,370.74x = 320,256.99 × 108,265.14
  4. Step 4: Simplify right side
    213,370.74x = 34,672,667,858.33
  5. Step 5: Solve for x
    x = 34,672,667,858.33/213,370.74
  6. Step 6: Final answer
    x = 162,499.64

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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.