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Finding the Fourth Proportional to 142,896.86, 197,213.92 and 82,483.72

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Solution

The fourth proportional to 142,896.86, 197,213.92 and 82,483.72 is: 113,836.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,896.86 : 197,213.92 = 82,483.72 : x
  2. Step 2: Convert to fraction form
    142,896.86/197,213.92 = 82,483.72/x
  3. Step 3: Cross multiply
    142,896.86x = 197,213.92 × 82,483.72
  4. Step 4: Simplify right side
    142,896.86x = 16,266,937,757.38
  5. Step 5: Solve for x
    x = 16,266,937,757.38/142,896.86
  6. Step 6: Final answer
    x = 113,836.92

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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.