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Finding the Fourth Proportional to 255,339.76, 382,651.11 and 201,796.33

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Solution

The fourth proportional to 255,339.76, 382,651.11 and 201,796.33 is: 302,411.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,339.76 : 382,651.11 = 201,796.33 : x
  2. Step 2: Convert to fraction form
    255,339.76/382,651.11 = 201,796.33/x
  3. Step 3: Cross multiply
    255,339.76x = 382,651.11 × 201,796.33
  4. Step 4: Simplify right side
    255,339.76x = 77,217,589,668.43
  5. Step 5: Solve for x
    x = 77,217,589,668.43/255,339.76
  6. Step 6: Final answer
    x = 302,411.15

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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.