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Finding the Fourth Proportional to 258,835.38, 357,195.37 and 144,115.62

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Solution

The fourth proportional to 258,835.38, 357,195.37 and 144,115.62 is: 198,880.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,835.38 : 357,195.37 = 144,115.62 : x
  2. Step 2: Convert to fraction form
    258,835.38/357,195.37 = 144,115.62/x
  3. Step 3: Cross multiply
    258,835.38x = 357,195.37 × 144,115.62
  4. Step 4: Simplify right side
    258,835.38x = 51,477,432,208.68
  5. Step 5: Solve for x
    x = 51,477,432,208.68/258,835.38
  6. Step 6: Final answer
    x = 198,880.97

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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.