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Finding the Fourth Proportional to 160,832.61, 241,170.75 and 48,492

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Solution

The fourth proportional to 160,832.61, 241,170.75 and 48,492 is: 72,714.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,832.61 : 241,170.75 = 48,492 : x
  2. Step 2: Convert to fraction form
    160,832.61/241,170.75 = 48,492/x
  3. Step 3: Cross multiply
    160,832.61x = 241,170.75 × 48,492
  4. Step 4: Simplify right side
    160,832.61x = 11,694,852,009
  5. Step 5: Solve for x
    x = 11,694,852,009/160,832.61
  6. Step 6: Final answer
    x = 72,714.43

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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.