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Finding the Fourth Proportional to 96,285.96, 144,367.38 and 40,164.78

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Solution

The fourth proportional to 96,285.96, 144,367.38 and 40,164.78 is: 60,221.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,285.96 : 144,367.38 = 40,164.78 : x
  2. Step 2: Convert to fraction form
    96,285.96/144,367.38 = 40,164.78/x
  3. Step 3: Cross multiply
    96,285.96x = 144,367.38 × 40,164.78
  4. Step 4: Simplify right side
    96,285.96x = 5,798,484,056.88
  5. Step 5: Solve for x
    x = 5,798,484,056.88/96,285.96
  6. Step 6: Final answer
    x = 60,221.49

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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.