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Finding the Fourth Proportional to 144,981.28, 200,163.88 and 96,651.28

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Solution

The fourth proportional to 144,981.28, 200,163.88 and 96,651.28 is: 133,438.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,981.28 : 200,163.88 = 96,651.28 : x
  2. Step 2: Convert to fraction form
    144,981.28/200,163.88 = 96,651.28/x
  3. Step 3: Cross multiply
    144,981.28x = 200,163.88 × 96,651.28
  4. Step 4: Simplify right side
    144,981.28x = 19,346,095,211.77
  5. Step 5: Solve for x
    x = 19,346,095,211.77/144,981.28
  6. Step 6: Final answer
    x = 133,438.57

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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.