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Finding the Fourth Proportional to 269,178.69, 403,771.13 and 115,283.86

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Solution

The fourth proportional to 269,178.69, 403,771.13 and 115,283.86 is: 172,927.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,178.69 : 403,771.13 = 115,283.86 : x
  2. Step 2: Convert to fraction form
    269,178.69/403,771.13 = 115,283.86/x
  3. Step 3: Cross multiply
    269,178.69x = 403,771.13 × 115,283.86
  4. Step 4: Simplify right side
    269,178.69x = 46,548,293,269.43
  5. Step 5: Solve for x
    x = 46,548,293,269.43/269,178.69
  6. Step 6: Final answer
    x = 172,927.11

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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.