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Finding the Fourth Proportional to 117,238.98, 175,858.46 and 28,492.54

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Solution

The fourth proportional to 117,238.98, 175,858.46 and 28,492.54 is: 42,738.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,238.98 : 175,858.46 = 28,492.54 : x
  2. Step 2: Convert to fraction form
    117,238.98/175,858.46 = 28,492.54/x
  3. Step 3: Cross multiply
    117,238.98x = 175,858.46 × 28,492.54
  4. Step 4: Simplify right side
    117,238.98x = 5,010,654,205.89
  5. Step 5: Solve for x
    x = 5,010,654,205.89/117,238.98
  6. Step 6: Final answer
    x = 42,738.81

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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.