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Finding the Fourth Proportional to 202,857.98, 304,165.46 and 96,268.46

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Solution

The fourth proportional to 202,857.98, 304,165.46 and 96,268.46 is: 144,345.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,857.98 : 304,165.46 = 96,268.46 : x
  2. Step 2: Convert to fraction form
    202,857.98/304,165.46 = 96,268.46/x
  3. Step 3: Cross multiply
    202,857.98x = 304,165.46 × 96,268.46
  4. Step 4: Simplify right side
    202,857.98x = 29,281,540,419.39
  5. Step 5: Solve for x
    x = 29,281,540,419.39/202,857.98
  6. Step 6: Final answer
    x = 144,345.03

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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.