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Finding the Fourth Proportional to 131,576.46, 197,393.85 and 61,417.50

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Solution

The fourth proportional to 131,576.46, 197,393.85 and 61,417.50 is: 92,139.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,576.46 : 197,393.85 = 61,417.50 : x
  2. Step 2: Convert to fraction form
    131,576.46/197,393.85 = 61,417.50/x
  3. Step 3: Cross multiply
    131,576.46x = 197,393.85 × 61,417.50
  4. Step 4: Simplify right side
    131,576.46x = 12,123,436,782.38
  5. Step 5: Solve for x
    x = 12,123,436,782.38/131,576.46
  6. Step 6: Final answer
    x = 92,139.86

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