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Finding the Fourth Proportional to 143,710.42, 198,320.44 and 83,316.22

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Solution

The fourth proportional to 143,710.42, 198,320.44 and 83,316.22 is: 114,976.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,710.42 : 198,320.44 = 83,316.22 : x
  2. Step 2: Convert to fraction form
    143,710.42/198,320.44 = 83,316.22/x
  3. Step 3: Cross multiply
    143,710.42x = 198,320.44 × 83,316.22
  4. Step 4: Simplify right side
    143,710.42x = 16,523,309,409.54
  5. Step 5: Solve for x
    x = 16,523,309,409.54/143,710.42
  6. Step 6: Final answer
    x = 114,976.42

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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.