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Finding the Fourth Proportional to 258,017, 387,049.96 and 100,257.64

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Solution

The fourth proportional to 258,017, 387,049.96 and 100,257.64 is: 150,395.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,017 : 387,049.96 = 100,257.64 : x
  2. Step 2: Convert to fraction form
    258,017/387,049.96 = 100,257.64/x
  3. Step 3: Cross multiply
    258,017x = 387,049.96 × 100,257.64
  4. Step 4: Simplify right side
    258,017x = 38,804,715,551.69
  5. Step 5: Solve for x
    x = 38,804,715,551.69/258,017
  6. Step 6: Final answer
    x = 150,395.96

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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.