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Finding the Fourth Proportional to 258,255.84, 387,382.08 and 100,594.56

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Solution

The fourth proportional to 258,255.84, 387,382.08 and 100,594.56 is: 150,891.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,255.84 : 387,382.08 = 100,594.56 : x
  2. Step 2: Convert to fraction form
    258,255.84/387,382.08 = 100,594.56/x
  3. Step 3: Cross multiply
    258,255.84x = 387,382.08 × 100,594.56
  4. Step 4: Simplify right side
    258,255.84x = 38,968,529,889.48
  5. Step 5: Solve for x
    x = 38,968,529,889.48/258,255.84
  6. Step 6: Final answer
    x = 150,891.19

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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.