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Finding the Fourth Proportional to 202,962.80, 280,201.26 and 122,410.64

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Solution

The fourth proportional to 202,962.80, 280,201.26 and 122,410.64 is: 168,994.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,962.80 : 280,201.26 = 122,410.64 : x
  2. Step 2: Convert to fraction form
    202,962.80/280,201.26 = 122,410.64/x
  3. Step 3: Cross multiply
    202,962.80x = 280,201.26 × 122,410.64
  4. Step 4: Simplify right side
    202,962.80x = 34,299,615,565.41
  5. Step 5: Solve for x
    x = 34,299,615,565.41/202,962.80
  6. Step 6: Final answer
    x = 168,994.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.