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Finding the Fourth Proportional to 258,842.70, 388,033.20 and 101,034.45

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Solution

The fourth proportional to 258,842.70, 388,033.20 and 101,034.45 is: 151,461.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,842.70 : 388,033.20 = 101,034.45 : x
  2. Step 2: Convert to fraction form
    258,842.70/388,033.20 = 101,034.45/x
  3. Step 3: Cross multiply
    258,842.70x = 388,033.20 × 101,034.45
  4. Step 4: Simplify right side
    258,842.70x = 39,204,720,943.74
  5. Step 5: Solve for x
    x = 39,204,720,943.74/258,842.70
  6. Step 6: Final answer
    x = 151,461.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.