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Finding the Fourth Proportional to 170,416.50, 255,657.60 and 76,922.34

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Solution

The fourth proportional to 170,416.50, 255,657.60 and 76,922.34 is: 115,398.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,416.50 : 255,657.60 = 76,922.34 : x
  2. Step 2: Convert to fraction form
    170,416.50/255,657.60 = 76,922.34/x
  3. Step 3: Cross multiply
    170,416.50x = 255,657.60 × 76,922.34
  4. Step 4: Simplify right side
    170,416.50x = 19,665,780,830.78
  5. Step 5: Solve for x
    x = 19,665,780,830.78/170,416.50
  6. Step 6: Final answer
    x = 115,398.34

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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.