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Finding the Fourth Proportional to 143,302.53, 197,753.19 and 82,046.67

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Solution

The fourth proportional to 143,302.53, 197,753.19 and 82,046.67 is: 113,221.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,302.53 : 197,753.19 = 82,046.67 : x
  2. Step 2: Convert to fraction form
    143,302.53/197,753.19 = 82,046.67/x
  3. Step 3: Cross multiply
    143,302.53x = 197,753.19 × 82,046.67
  4. Step 4: Simplify right side
    143,302.53x = 16,224,990,721.38
  5. Step 5: Solve for x
    x = 16,224,990,721.38/143,302.53
  6. Step 6: Final answer
    x = 113,221.94

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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.