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Finding the Fourth Proportional to 96,162.24, 144,047.52 and 78,456

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Solution

The fourth proportional to 96,162.24, 144,047.52 and 78,456 is: 117,524.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,162.24 : 144,047.52 = 78,456 : x
  2. Step 2: Convert to fraction form
    96,162.24/144,047.52 = 78,456/x
  3. Step 3: Cross multiply
    96,162.24x = 144,047.52 × 78,456
  4. Step 4: Simplify right side
    96,162.24x = 11,301,392,229.12
  5. Step 5: Solve for x
    x = 11,301,392,229.12/96,162.24
  6. Step 6: Final answer
    x = 117,524.22

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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.