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Finding the Fourth Proportional to 143,455.88, 198,022.40 and 123,231.59

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Solution

The fourth proportional to 143,455.88, 198,022.40 and 123,231.59 is: 170,105.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,455.88 : 198,022.40 = 123,231.59 : x
  2. Step 2: Convert to fraction form
    143,455.88/198,022.40 = 123,231.59/x
  3. Step 3: Cross multiply
    143,455.88x = 198,022.40 × 123,231.59
  4. Step 4: Simplify right side
    143,455.88x = 24,402,616,613.10
  5. Step 5: Solve for x
    x = 24,402,616,613.10/143,455.88
  6. Step 6: Final answer
    x = 170,105.38

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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.