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Finding the Fourth Proportional to 143,535.86, 198,076.38 and 83,109.14

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Solution

The fourth proportional to 143,535.86, 198,076.38 and 83,109.14 is: 114,688.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,535.86 : 198,076.38 = 83,109.14 : x
  2. Step 2: Convert to fraction form
    143,535.86/198,076.38 = 83,109.14/x
  3. Step 3: Cross multiply
    143,535.86x = 198,076.38 × 83,109.14
  4. Step 4: Simplify right side
    143,535.86x = 16,461,957,596.11
  5. Step 5: Solve for x
    x = 16,461,957,596.11/143,535.86
  6. Step 6: Final answer
    x = 114,688.81

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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.