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Finding the Fourth Proportional to 132,690.25, 199,093.98 and 102,962.77

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Solution

The fourth proportional to 132,690.25, 199,093.98 and 102,962.77 is: 154,489.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,690.25 : 199,093.98 = 102,962.77 : x
  2. Step 2: Convert to fraction form
    132,690.25/199,093.98 = 102,962.77/x
  3. Step 3: Cross multiply
    132,690.25x = 199,093.98 × 102,962.77
  4. Step 4: Simplify right side
    132,690.25x = 20,499,267,671.12
  5. Step 5: Solve for x
    x = 20,499,267,671.12/132,690.25
  6. Step 6: Final answer
    x = 154,489.63

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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.