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Finding the Fourth Proportional to 259,543.68, 358,171.38 and 144,827.33

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Solution

The fourth proportional to 259,543.68, 358,171.38 and 144,827.33 is: 199,862.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,543.68 : 358,171.38 = 144,827.33 : x
  2. Step 2: Convert to fraction form
    259,543.68/358,171.38 = 144,827.33/x
  3. Step 3: Cross multiply
    259,543.68x = 358,171.38 × 144,827.33
  4. Step 4: Simplify right side
    259,543.68x = 51,873,004,647.82
  5. Step 5: Solve for x
    x = 51,873,004,647.82/259,543.68
  6. Step 6: Final answer
    x = 199,862.33

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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.