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Finding the Fourth Proportional to 200,960.81, 277,339.94 and 132,859.46

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Solution

The fourth proportional to 200,960.81, 277,339.94 and 132,859.46 is: 183,355.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,960.81 : 277,339.94 = 132,859.46 : x
  2. Step 2: Convert to fraction form
    200,960.81/277,339.94 = 132,859.46/x
  3. Step 3: Cross multiply
    200,960.81x = 277,339.94 × 132,859.46
  4. Step 4: Simplify right side
    200,960.81x = 36,847,234,664.83
  5. Step 5: Solve for x
    x = 36,847,234,664.83/200,960.81
  6. Step 6: Final answer
    x = 183,355.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.