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Finding the Fourth Proportional to 253,594.26, 380,454.66 and 76,104.54

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Solution

The fourth proportional to 253,594.26, 380,454.66 and 76,104.54 is: 114,175.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,594.26 : 380,454.66 = 76,104.54 : x
  2. Step 2: Convert to fraction form
    253,594.26/380,454.66 = 76,104.54/x
  3. Step 3: Cross multiply
    253,594.26x = 380,454.66 × 76,104.54
  4. Step 4: Simplify right side
    253,594.26x = 28,954,326,890.16
  5. Step 5: Solve for x
    x = 28,954,326,890.16/253,594.26
  6. Step 6: Final answer
    x = 114,175.80

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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.