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Finding the Fourth Proportional to 132,416, 198,625.82 and 73,367

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Solution

The fourth proportional to 132,416, 198,625.82 and 73,367 is: 110,051.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,416 : 198,625.82 = 73,367 : x
  2. Step 2: Convert to fraction form
    132,416/198,625.82 = 73,367/x
  3. Step 3: Cross multiply
    132,416x = 198,625.82 × 73,367
  4. Step 4: Simplify right side
    132,416x = 14,572,580,535.94
  5. Step 5: Solve for x
    x = 14,572,580,535.94/132,416
  6. Step 6: Final answer
    x = 110,051.51

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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.