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Finding the Fourth Proportional to 160,744.98, 241,011.09 and 71,876.10

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Solution

The fourth proportional to 160,744.98, 241,011.09 and 71,876.10 is: 107,766.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,744.98 : 241,011.09 = 71,876.10 : x
  2. Step 2: Convert to fraction form
    160,744.98/241,011.09 = 71,876.10/x
  3. Step 3: Cross multiply
    160,744.98x = 241,011.09 × 71,876.10
  4. Step 4: Simplify right side
    160,744.98x = 17,322,937,205.95
  5. Step 5: Solve for x
    x = 17,322,937,205.95/160,744.98
  6. Step 6: Final answer
    x = 107,766.58

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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.