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Finding the Fourth Proportional to 258,764.33, 357,105.26 and 144,035.70

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Solution

The fourth proportional to 258,764.33, 357,105.26 and 144,035.70 is: 198,775.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,764.33 : 357,105.26 = 144,035.70 : x
  2. Step 2: Convert to fraction form
    258,764.33/357,105.26 = 144,035.70/x
  3. Step 3: Cross multiply
    258,764.33x = 357,105.26 × 144,035.70
  4. Step 4: Simplify right side
    258,764.33x = 51,435,906,097.78
  5. Step 5: Solve for x
    x = 51,435,906,097.78/258,764.33
  6. Step 6: Final answer
    x = 198,775.10

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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.