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Finding the Fourth Proportional to 160,962.32, 241,680.50 and 90,023.92

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Solution

The fourth proportional to 160,962.32, 241,680.50 and 90,023.92 is: 135,168.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,962.32 : 241,680.50 = 90,023.92 : x
  2. Step 2: Convert to fraction form
    160,962.32/241,680.50 = 90,023.92/x
  3. Step 3: Cross multiply
    160,962.32x = 241,680.50 × 90,023.92
  4. Step 4: Simplify right side
    160,962.32x = 21,757,025,997.56
  5. Step 5: Solve for x
    x = 21,757,025,997.56/160,962.32
  6. Step 6: Final answer
    x = 135,168.44

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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.