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Finding the Fourth Proportional to 258,012, 386,918.58 and 100,219.68

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Solution

The fourth proportional to 258,012, 386,918.58 and 100,219.68 is: 150,290.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,012 : 386,918.58 = 100,219.68 : x
  2. Step 2: Convert to fraction form
    258,012/386,918.58 = 100,219.68/x
  3. Step 3: Cross multiply
    258,012x = 386,918.58 × 100,219.68
  4. Step 4: Simplify right side
    258,012x = 38,776,856,273.65
  5. Step 5: Solve for x
    x = 38,776,856,273.65/258,012
  6. Step 6: Final answer
    x = 150,290.90

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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.