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Finding the Fourth Proportional to 259,363.90, 357,921.49 and 144,642.68

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Solution

The fourth proportional to 259,363.90, 357,921.49 and 144,642.68 is: 199,606.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,363.90 : 357,921.49 = 144,642.68 : x
  2. Step 2: Convert to fraction form
    259,363.90/357,921.49 = 144,642.68/x
  3. Step 3: Cross multiply
    259,363.90x = 357,921.49 × 144,642.68
  4. Step 4: Simplify right side
    259,363.90x = 51,770,722,712.02
  5. Step 5: Solve for x
    x = 51,770,722,712.02/259,363.90
  6. Step 6: Final answer
    x = 199,606.51

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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.