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Finding the Fourth Proportional to 257,267.41, 385,831.41 and 107,476.37

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Solution

The fourth proportional to 257,267.41, 385,831.41 and 107,476.37 is: 161,185.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,267.41 : 385,831.41 = 107,476.37 : x
  2. Step 2: Convert to fraction form
    257,267.41/385,831.41 = 107,476.37/x
  3. Step 3: Cross multiply
    257,267.41x = 385,831.41 × 107,476.37
  4. Step 4: Simplify right side
    257,267.41x = 41,467,756,912.24
  5. Step 5: Solve for x
    x = 41,467,756,912.24/257,267.41
  6. Step 6: Final answer
    x = 161,185.43

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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.