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Finding the Fourth Proportional to 240,653.68, 360,914.10 and 133,906.48

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Solution

The fourth proportional to 240,653.68, 360,914.10 and 133,906.48 is: 200,822.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,653.68 : 360,914.10 = 133,906.48 : x
  2. Step 2: Convert to fraction form
    240,653.68/360,914.10 = 133,906.48/x
  3. Step 3: Cross multiply
    240,653.68x = 360,914.10 × 133,906.48
  4. Step 4: Simplify right side
    240,653.68x = 48,328,736,713.37
  5. Step 5: Solve for x
    x = 48,328,736,713.37/240,653.68
  6. Step 6: Final answer
    x = 200,822.76

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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.