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Finding the Fourth Proportional to 202,857.36, 304,435.40 and 96,241.52

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Solution

The fourth proportional to 202,857.36, 304,435.40 and 96,241.52 is: 144,433.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,857.36 : 304,435.40 = 96,241.52 : x
  2. Step 2: Convert to fraction form
    202,857.36/304,435.40 = 96,241.52/x
  3. Step 3: Cross multiply
    202,857.36x = 304,435.40 × 96,241.52
  4. Step 4: Simplify right side
    202,857.36x = 29,299,325,637.81
  5. Step 5: Solve for x
    x = 29,299,325,637.81/202,857.36
  6. Step 6: Final answer
    x = 144,433.14

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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.