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Finding the Fourth Proportional to 144,976.26, 200,156.96 and 96,646.26

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Solution

The fourth proportional to 144,976.26, 200,156.96 and 96,646.26 is: 133,431.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,976.26 : 200,156.96 = 96,646.26 : x
  2. Step 2: Convert to fraction form
    144,976.26/200,156.96 = 96,646.26/x
  3. Step 3: Cross multiply
    144,976.26x = 200,156.96 × 96,646.26
  4. Step 4: Simplify right side
    144,976.26x = 19,344,421,596.97
  5. Step 5: Solve for x
    x = 19,344,421,596.97/144,976.26
  6. Step 6: Final answer
    x = 133,431.65

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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.