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Finding the Fourth Proportional to 160,073.82, 240,175.33 and 71,266.64

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Solution

The fourth proportional to 160,073.82, 240,175.33 and 71,266.64 is: 106,928.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,073.82 : 240,175.33 = 71,266.64 : x
  2. Step 2: Convert to fraction form
    160,073.82/240,175.33 = 71,266.64/x
  3. Step 3: Cross multiply
    160,073.82x = 240,175.33 × 71,266.64
  4. Step 4: Simplify right side
    160,073.82x = 17,116,487,400.95
  5. Step 5: Solve for x
    x = 17,116,487,400.95/160,073.82
  6. Step 6: Final answer
    x = 106,928.71

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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.