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Finding the Fourth Proportional to 131,951.76, 197,672.46 and 82,051.74

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Solution

The fourth proportional to 131,951.76, 197,672.46 and 82,051.74 is: 122,918.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,951.76 : 197,672.46 = 82,051.74 : x
  2. Step 2: Convert to fraction form
    131,951.76/197,672.46 = 82,051.74/x
  3. Step 3: Cross multiply
    131,951.76x = 197,672.46 × 82,051.74
  4. Step 4: Simplify right side
    131,951.76x = 16,219,369,293.08
  5. Step 5: Solve for x
    x = 16,219,369,293.08/131,951.76
  6. Step 6: Final answer
    x = 122,918.93

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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.