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Finding the Fourth Proportional to 143,812.98, 198,462.59 and 83,419.38

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Solution

The fourth proportional to 143,812.98, 198,462.59 and 83,419.38 is: 115,119.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,812.98 : 198,462.59 = 83,419.38 : x
  2. Step 2: Convert to fraction form
    143,812.98/198,462.59 = 83,419.38/x
  3. Step 3: Cross multiply
    143,812.98x = 198,462.59 × 83,419.38
  4. Step 4: Simplify right side
    143,812.98x = 16,555,625,793.90
  5. Step 5: Solve for x
    x = 16,555,625,793.90/143,812.98
  6. Step 6: Final answer
    x = 115,119.13

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Why These Related Problems?

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