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Finding the Fourth Proportional to 143,438.50, 197,945.13 and 83,822.50

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Solution

The fourth proportional to 143,438.50, 197,945.13 and 83,822.50 is: 115,675.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,438.50 : 197,945.13 = 83,822.50 : x
  2. Step 2: Convert to fraction form
    143,438.50/197,945.13 = 83,822.50/x
  3. Step 3: Cross multiply
    143,438.50x = 197,945.13 × 83,822.50
  4. Step 4: Simplify right side
    143,438.50x = 16,592,255,659.43
  5. Step 5: Solve for x
    x = 16,592,255,659.43/143,438.50
  6. Step 6: Final answer
    x = 115,675.05

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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.