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Finding the Fourth Proportional to 76,255.40, 114,512.70 and 56,556.20

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Solution

The fourth proportional to 76,255.40, 114,512.70 and 56,556.20 is: 84,930.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,255.40 : 114,512.70 = 56,556.20 : x
  2. Step 2: Convert to fraction form
    76,255.40/114,512.70 = 56,556.20/x
  3. Step 3: Cross multiply
    76,255.40x = 114,512.70 × 56,556.20
  4. Step 4: Simplify right side
    76,255.40x = 6,476,403,163.74
  5. Step 5: Solve for x
    x = 6,476,403,163.74/76,255.40
  6. Step 6: Final answer
    x = 84,930.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.