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Finding the Fourth Proportional to 258,520.68, 387,571.86 and 116,261.78

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Solution

The fourth proportional to 258,520.68, 387,571.86 and 116,261.78 is: 174,298.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,520.68 : 387,571.86 = 116,261.78 : x
  2. Step 2: Convert to fraction form
    258,520.68/387,571.86 = 116,261.78/x
  3. Step 3: Cross multiply
    258,520.68x = 387,571.86 × 116,261.78
  4. Step 4: Simplify right side
    258,520.68x = 45,059,792,383.65
  5. Step 5: Solve for x
    x = 45,059,792,383.65/258,520.68
  6. Step 6: Final answer
    x = 174,298.60

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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.