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Finding the Fourth Proportional to 96,113.50, 144,201.10 and 46,197.22

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Solution

The fourth proportional to 96,113.50, 144,201.10 and 46,197.22 is: 69,310.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,113.50 : 144,201.10 = 46,197.22 : x
  2. Step 2: Convert to fraction form
    96,113.50/144,201.10 = 46,197.22/x
  3. Step 3: Cross multiply
    96,113.50x = 144,201.10 × 46,197.22
  4. Step 4: Simplify right side
    96,113.50x = 6,661,689,940.94
  5. Step 5: Solve for x
    x = 6,661,689,940.94/96,113.50
  6. Step 6: Final answer
    x = 69,310.66

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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.