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Finding the Fourth Proportional to 102,891.69, 155,108.69 and 96,033.38

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Solution

The fourth proportional to 102,891.69, 155,108.69 and 96,033.38 is: 144,769.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,891.69 : 155,108.69 = 96,033.38 : x
  2. Step 2: Convert to fraction form
    102,891.69/155,108.69 = 96,033.38/x
  3. Step 3: Cross multiply
    102,891.69x = 155,108.69 × 96,033.38
  4. Step 4: Simplify right side
    102,891.69x = 14,895,610,512.36
  5. Step 5: Solve for x
    x = 14,895,610,512.36/102,891.69
  6. Step 6: Final answer
    x = 144,769.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.