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Finding the Fourth Proportional to 259,257.60, 388,108.80 and 154,022.40

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Solution

The fourth proportional to 259,257.60, 388,108.80 and 154,022.40 is: 230,571.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,257.60 : 388,108.80 = 154,022.40 : x
  2. Step 2: Convert to fraction form
    259,257.60/388,108.80 = 154,022.40/x
  3. Step 3: Cross multiply
    259,257.60x = 388,108.80 × 154,022.40
  4. Step 4: Simplify right side
    259,257.60x = 59,777,448,837.12
  5. Step 5: Solve for x
    x = 59,777,448,837.12/259,257.60
  6. Step 6: Final answer
    x = 230,571.64

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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.