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Finding the Fourth Proportional to 269,534.70, 404,107.65 and 176,093.10

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Solution

The fourth proportional to 269,534.70, 404,107.65 and 176,093.10 is: 264,012.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,534.70 : 404,107.65 = 176,093.10 : x
  2. Step 2: Convert to fraction form
    269,534.70/404,107.65 = 176,093.10/x
  3. Step 3: Cross multiply
    269,534.70x = 404,107.65 × 176,093.10
  4. Step 4: Simplify right side
    269,534.70x = 71,160,568,822.22
  5. Step 5: Solve for x
    x = 71,160,568,822.22/269,534.70
  6. Step 6: Final answer
    x = 264,012.64

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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.