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Finding the Fourth Proportional to 116,805.52, 175,234.20 and 54,442

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Solution

The fourth proportional to 116,805.52, 175,234.20 and 54,442 is: 81,675.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,805.52 : 175,234.20 = 54,442 : x
  2. Step 2: Convert to fraction form
    116,805.52/175,234.20 = 54,442/x
  3. Step 3: Cross multiply
    116,805.52x = 175,234.20 × 54,442
  4. Step 4: Simplify right side
    116,805.52x = 9,540,100,316.40
  5. Step 5: Solve for x
    x = 9,540,100,316.40/116,805.52
  6. Step 6: Final answer
    x = 81,675.08

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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.