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Finding the Fourth Proportional to 202,904.54, 280,097.94 and 121,261.60

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Solution

The fourth proportional to 202,904.54, 280,097.94 and 121,261.60 is: 167,394.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,904.54 : 280,097.94 = 121,261.60 : x
  2. Step 2: Convert to fraction form
    202,904.54/280,097.94 = 121,261.60/x
  3. Step 3: Cross multiply
    202,904.54x = 280,097.94 × 121,261.60
  4. Step 4: Simplify right side
    202,904.54x = 33,965,124,361.10
  5. Step 5: Solve for x
    x = 33,965,124,361.10/202,904.54
  6. Step 6: Final answer
    x = 167,394.60

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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.