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Finding the Fourth Proportional to 144,491.10, 216,736.65 and 100,167.90

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Solution

The fourth proportional to 144,491.10, 216,736.65 and 100,167.90 is: 150,251.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,491.10 : 216,736.65 = 100,167.90 : x
  2. Step 2: Convert to fraction form
    144,491.10/216,736.65 = 100,167.90/x
  3. Step 3: Cross multiply
    144,491.10x = 216,736.65 × 100,167.90
  4. Step 4: Simplify right side
    144,491.10x = 21,710,055,083.54
  5. Step 5: Solve for x
    x = 21,710,055,083.54/144,491.10
  6. Step 6: Final answer
    x = 150,251.85

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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.