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Finding the Fourth Proportional to 160,750.98, 241,020.09 and 71,882.10

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Solution

The fourth proportional to 160,750.98, 241,020.09 and 71,882.10 is: 107,775.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,750.98 : 241,020.09 = 71,882.10 : x
  2. Step 2: Convert to fraction form
    160,750.98/241,020.09 = 71,882.10/x
  3. Step 3: Cross multiply
    160,750.98x = 241,020.09 × 71,882.10
  4. Step 4: Simplify right side
    160,750.98x = 17,325,030,211.39
  5. Step 5: Solve for x
    x = 17,325,030,211.39/160,750.98
  6. Step 6: Final answer
    x = 107,775.58

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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.