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Finding the Fourth Proportional to 170,085.78, 255,041.19 and 76,540.50

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Solution

The fourth proportional to 170,085.78, 255,041.19 and 76,540.50 is: 114,771.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,085.78 : 255,041.19 = 76,540.50 : x
  2. Step 2: Convert to fraction form
    170,085.78/255,041.19 = 76,540.50/x
  3. Step 3: Cross multiply
    170,085.78x = 255,041.19 × 76,540.50
  4. Step 4: Simplify right side
    170,085.78x = 19,520,980,203.20
  5. Step 5: Solve for x
    x = 19,520,980,203.20/170,085.78
  6. Step 6: Final answer
    x = 114,771.38

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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.