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Finding the Fourth Proportional to 103,200, 154,826.01 and 29,328

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Solution

The fourth proportional to 103,200, 154,826.01 and 29,328 is: 43,999.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,200 : 154,826.01 = 29,328 : x
  2. Step 2: Convert to fraction form
    103,200/154,826.01 = 29,328/x
  3. Step 3: Cross multiply
    103,200x = 154,826.01 × 29,328
  4. Step 4: Simplify right side
    103,200x = 4,540,737,221.28
  5. Step 5: Solve for x
    x = 4,540,737,221.28/103,200
  6. Step 6: Final answer
    x = 43,999.39

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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.