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Finding the Fourth Proportional to 258,033.88, 386,852.10 and 80,435.80

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Solution

The fourth proportional to 258,033.88, 386,852.10 and 80,435.80 is: 120,591.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,033.88 : 386,852.10 = 80,435.80 : x
  2. Step 2: Convert to fraction form
    258,033.88/386,852.10 = 80,435.80/x
  3. Step 3: Cross multiply
    258,033.88x = 386,852.10 × 80,435.80
  4. Step 4: Simplify right side
    258,033.88x = 31,116,758,145.18
  5. Step 5: Solve for x
    x = 31,116,758,145.18/258,033.88
  6. Step 6: Final answer
    x = 120,591.75

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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.