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Finding the Fourth Proportional to 143,647.38, 198,340.29 and 87,135.30

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Solution

The fourth proportional to 143,647.38, 198,340.29 and 87,135.30 is: 120,311.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,647.38 : 198,340.29 = 87,135.30 : x
  2. Step 2: Convert to fraction form
    143,647.38/198,340.29 = 87,135.30/x
  3. Step 3: Cross multiply
    143,647.38x = 198,340.29 × 87,135.30
  4. Step 4: Simplify right side
    143,647.38x = 17,282,440,671.24
  5. Step 5: Solve for x
    x = 17,282,440,671.24/143,647.38
  6. Step 6: Final answer
    x = 120,311.56

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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.