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Finding the Fourth Proportional to 143,572.34, 198,112.02 and 83,142.02

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Solution

The fourth proportional to 143,572.34, 198,112.02 and 83,142.02 is: 114,725.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,572.34 : 198,112.02 = 83,142.02 : x
  2. Step 2: Convert to fraction form
    143,572.34/198,112.02 = 83,142.02/x
  3. Step 3: Cross multiply
    143,572.34x = 198,112.02 × 83,142.02
  4. Step 4: Simplify right side
    143,572.34x = 16,471,433,529.08
  5. Step 5: Solve for x
    x = 16,471,433,529.08/143,572.34
  6. Step 6: Final answer
    x = 114,725.67

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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.