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Finding the Fourth Proportional to 96,182.25, 144,227.96 and 56,212.70

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Solution

The fourth proportional to 96,182.25, 144,227.96 and 56,212.70 is: 84,292.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,182.25 : 144,227.96 = 56,212.70 : x
  2. Step 2: Convert to fraction form
    96,182.25/144,227.96 = 56,212.70/x
  3. Step 3: Cross multiply
    96,182.25x = 144,227.96 × 56,212.70
  4. Step 4: Simplify right side
    96,182.25x = 8,107,442,897.32
  5. Step 5: Solve for x
    x = 8,107,442,897.32/96,182.25
  6. Step 6: Final answer
    x = 84,292.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.