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Finding the Fourth Proportional to 172,414, 258,621.06 and 54,094.60

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Solution

The fourth proportional to 172,414, 258,621.06 and 54,094.60 is: 81,141.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,414 : 258,621.06 = 54,094.60 : x
  2. Step 2: Convert to fraction form
    172,414/258,621.06 = 54,094.60/x
  3. Step 3: Cross multiply
    172,414x = 258,621.06 × 54,094.60
  4. Step 4: Simplify right side
    172,414x = 13,990,002,792.28
  5. Step 5: Solve for x
    x = 13,990,002,792.28/172,414
  6. Step 6: Final answer
    x = 81,141.92

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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.