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Finding the Fourth Proportional to 262,902.60, 394,256.70 and 85,415.40

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Solution

The fourth proportional to 262,902.60, 394,256.70 and 85,415.40 is: 128,091.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,902.60 : 394,256.70 = 85,415.40 : x
  2. Step 2: Convert to fraction form
    262,902.60/394,256.70 = 85,415.40/x
  3. Step 3: Cross multiply
    262,902.60x = 394,256.70 × 85,415.40
  4. Step 4: Simplify right side
    262,902.60x = 33,675,593,733.18
  5. Step 5: Solve for x
    x = 33,675,593,733.18/262,902.60
  6. Step 6: Final answer
    x = 128,091.52

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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.