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Finding the Fourth Proportional to 143,659.38, 198,249.93 and 83,265.06

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Solution

The fourth proportional to 143,659.38, 198,249.93 and 83,265.06 is: 114,905.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,659.38 : 198,249.93 = 83,265.06 : x
  2. Step 2: Convert to fraction form
    143,659.38/198,249.93 = 83,265.06/x
  3. Step 3: Cross multiply
    143,659.38x = 198,249.93 × 83,265.06
  4. Step 4: Simplify right side
    143,659.38x = 16,507,292,316.45
  5. Step 5: Solve for x
    x = 16,507,292,316.45/143,659.38
  6. Step 6: Final answer
    x = 114,905.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.