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Finding the Fourth Proportional to 258,197.80, 356,293.02 and 144,998.68

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Solution

The fourth proportional to 258,197.80, 356,293.02 and 144,998.68 is: 200,086.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,197.80 : 356,293.02 = 144,998.68 : x
  2. Step 2: Convert to fraction form
    258,197.80/356,293.02 = 144,998.68/x
  3. Step 3: Cross multiply
    258,197.80x = 356,293.02 × 144,998.68
  4. Step 4: Simplify right side
    258,197.80x = 51,662,017,593.21
  5. Step 5: Solve for x
    x = 51,662,017,593.21/258,197.80
  6. Step 6: Final answer
    x = 200,086.98

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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.