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Finding the Fourth Proportional to 202,904.02, 280,097.25 and 121,261.09

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Solution

The fourth proportional to 202,904.02, 280,097.25 and 121,261.09 is: 167,393.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,904.02 : 280,097.25 = 121,261.09 : x
  2. Step 2: Convert to fraction form
    202,904.02/280,097.25 = 121,261.09/x
  3. Step 3: Cross multiply
    202,904.02x = 280,097.25 × 121,261.09
  4. Step 4: Simplify right side
    202,904.02x = 33,964,897,841.00
  5. Step 5: Solve for x
    x = 33,964,897,841.00/202,904.02
  6. Step 6: Final answer
    x = 167,393.91

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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.