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Finding the Fourth Proportional to 160,805.82, 241,227.36 and 61,040.55

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Solution

The fourth proportional to 160,805.82, 241,227.36 and 61,040.55 is: 91,567.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,805.82 : 241,227.36 = 61,040.55 : x
  2. Step 2: Convert to fraction form
    160,805.82/241,227.36 = 61,040.55/x
  3. Step 3: Cross multiply
    160,805.82x = 241,227.36 × 61,040.55
  4. Step 4: Simplify right side
    160,805.82x = 14,724,650,729.45
  5. Step 5: Solve for x
    x = 14,724,650,729.45/160,805.82
  6. Step 6: Final answer
    x = 91,567.90

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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.