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Finding the Fourth Proportional to 160,100.78, 239,954.33 and 89,832.47

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Solution

The fourth proportional to 160,100.78, 239,954.33 and 89,832.47 is: 134,638.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,100.78 : 239,954.33 = 89,832.47 : x
  2. Step 2: Convert to fraction form
    160,100.78/239,954.33 = 89,832.47/x
  3. Step 3: Cross multiply
    160,100.78x = 239,954.33 × 89,832.47
  4. Step 4: Simplify right side
    160,100.78x = 21,555,689,175.90
  5. Step 5: Solve for x
    x = 21,555,689,175.90/160,100.78
  6. Step 6: Final answer
    x = 134,638.26

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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.