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Finding the Fourth Proportional to 205,410.80, 308,116.20 and 191,586.80

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Solution

The fourth proportional to 205,410.80, 308,116.20 and 191,586.80 is: 287,380.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,410.80 : 308,116.20 = 191,586.80 : x
  2. Step 2: Convert to fraction form
    205,410.80/308,116.20 = 191,586.80/x
  3. Step 3: Cross multiply
    205,410.80x = 308,116.20 × 191,586.80
  4. Step 4: Simplify right side
    205,410.80x = 59,030,996,786.16
  5. Step 5: Solve for x
    x = 59,030,996,786.16/205,410.80
  6. Step 6: Final answer
    x = 287,380.20

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1.5x scale

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.