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Finding the Fourth Proportional to 144,078.84, 216,146.27 and 55,325.82

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Solution

The fourth proportional to 144,078.84, 216,146.27 and 55,325.82 is: 82,999.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,078.84 : 216,146.27 = 55,325.82 : x
  2. Step 2: Convert to fraction form
    144,078.84/216,146.27 = 55,325.82/x
  3. Step 3: Cross multiply
    144,078.84x = 216,146.27 × 55,325.82
  4. Step 4: Simplify right side
    144,078.84x = 11,958,469,766.01
  5. Step 5: Solve for x
    x = 11,958,469,766.01/144,078.84
  6. Step 6: Final answer
    x = 82,999.49

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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.