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Finding the Fourth Proportional to 262,893.40, 394,477.80 and 120,781.60

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Solution

The fourth proportional to 262,893.40, 394,477.80 and 120,781.60 is: 181,235.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,893.40 : 394,477.80 = 120,781.60 : x
  2. Step 2: Convert to fraction form
    262,893.40/394,477.80 = 120,781.60/x
  3. Step 3: Cross multiply
    262,893.40x = 394,477.80 × 120,781.60
  4. Step 4: Simplify right side
    262,893.40x = 47,645,659,848.48
  5. Step 5: Solve for x
    x = 47,645,659,848.48/262,893.40
  6. Step 6: Final answer
    x = 181,235.66

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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.