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Finding the Fourth Proportional to 132,072.42, 198,108.61 and 61,951.74

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Solution

The fourth proportional to 132,072.42, 198,108.61 and 61,951.74 is: 92,927.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,072.42 : 198,108.61 = 61,951.74 : x
  2. Step 2: Convert to fraction form
    132,072.42/198,108.61 = 61,951.74/x
  3. Step 3: Cross multiply
    132,072.42x = 198,108.61 × 61,951.74
  4. Step 4: Simplify right side
    132,072.42x = 12,273,173,098.48
  5. Step 5: Solve for x
    x = 12,273,173,098.48/132,072.42
  6. Step 6: Final answer
    x = 92,927.60

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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.