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Finding the Fourth Proportional to 112,045.80, 167,874.30 and 96,493.80

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Solution

The fourth proportional to 112,045.80, 167,874.30 and 96,493.80 is: 144,573.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,045.80 : 167,874.30 = 96,493.80 : x
  2. Step 2: Convert to fraction form
    112,045.80/167,874.30 = 96,493.80/x
  3. Step 3: Cross multiply
    112,045.80x = 167,874.30 × 96,493.80
  4. Step 4: Simplify right side
    112,045.80x = 16,198,829,129.34
  5. Step 5: Solve for x
    x = 16,198,829,129.34/112,045.80
  6. Step 6: Final answer
    x = 144,573.28

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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.