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Finding the Fourth Proportional to 195,806.88, 270,232.56 and 109,780.56

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Solution

The fourth proportional to 195,806.88, 270,232.56 and 109,780.56 is: 151,507.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,806.88 : 270,232.56 = 109,780.56 : x
  2. Step 2: Convert to fraction form
    195,806.88/270,232.56 = 109,780.56/x
  3. Step 3: Cross multiply
    195,806.88x = 270,232.56 × 109,780.56
  4. Step 4: Simplify right side
    195,806.88x = 29,666,281,767.03
  5. Step 5: Solve for x
    x = 29,666,281,767.03/195,806.88
  6. Step 6: Final answer
    x = 151,507.86

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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.