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Finding the Fourth Proportional to 195,843.50, 270,264.30 and 110,966.30

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Solution

The fourth proportional to 195,843.50, 270,264.30 and 110,966.30 is: 153,133.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,843.50 : 270,264.30 = 110,966.30 : x
  2. Step 2: Convert to fraction form
    195,843.50/270,264.30 = 110,966.30/x
  3. Step 3: Cross multiply
    195,843.50x = 270,264.30 × 110,966.30
  4. Step 4: Simplify right side
    195,843.50x = 29,990,229,393.09
  5. Step 5: Solve for x
    x = 29,990,229,393.09/195,843.50
  6. Step 6: Final answer
    x = 153,133.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.