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Finding the Fourth Proportional to 230,961.52, 346,451.98 and 112,732.30

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Solution

The fourth proportional to 230,961.52, 346,451.98 and 112,732.30 is: 169,103.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,961.52 : 346,451.98 = 112,732.30 : x
  2. Step 2: Convert to fraction form
    230,961.52/346,451.98 = 112,732.30/x
  3. Step 3: Cross multiply
    230,961.52x = 346,451.98 × 112,732.30
  4. Step 4: Simplify right side
    230,961.52x = 39,056,328,544.95
  5. Step 5: Solve for x
    x = 39,056,328,544.95/230,961.52
  6. Step 6: Final answer
    x = 169,103.18

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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.