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Finding the Fourth Proportional to 154,843.60, 231,876.60 and 101,966.80

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Solution

The fourth proportional to 154,843.60, 231,876.60 and 101,966.80 is: 152,694.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,843.60 : 231,876.60 = 101,966.80 : x
  2. Step 2: Convert to fraction form
    154,843.60/231,876.60 = 101,966.80/x
  3. Step 3: Cross multiply
    154,843.60x = 231,876.60 × 101,966.80
  4. Step 4: Simplify right side
    154,843.60x = 23,643,714,896.88
  5. Step 5: Solve for x
    x = 23,643,714,896.88/154,843.60
  6. Step 6: Final answer
    x = 152,694.17

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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.