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Finding the Fourth Proportional to 197,950.34, 296,893.92 and 57,676.16

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Solution

The fourth proportional to 197,950.34, 296,893.92 and 57,676.16 is: 86,505.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,950.34 : 296,893.92 = 57,676.16 : x
  2. Step 2: Convert to fraction form
    197,950.34/296,893.92 = 57,676.16/x
  3. Step 3: Cross multiply
    197,950.34x = 296,893.92 × 57,676.16
  4. Step 4: Simplify right side
    197,950.34x = 17,123,701,232.95
  5. Step 5: Solve for x
    x = 17,123,701,232.95/197,950.34
  6. Step 6: Final answer
    x = 86,505.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.