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Finding the Fourth Proportional to 143,640.90, 198,259.32 and 83,201.76

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Solution

The fourth proportional to 143,640.90, 198,259.32 and 83,201.76 is: 114,838.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,640.90 : 198,259.32 = 83,201.76 : x
  2. Step 2: Convert to fraction form
    143,640.90/198,259.32 = 83,201.76/x
  3. Step 3: Cross multiply
    143,640.90x = 198,259.32 × 83,201.76
  4. Step 4: Simplify right side
    143,640.90x = 16,495,524,360.40
  5. Step 5: Solve for x
    x = 16,495,524,360.40/143,640.90
  6. Step 6: Final answer
    x = 114,838.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.