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Finding the Fourth Proportional to 205,400.80, 308,101.20 and 163,928.80

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Solution

The fourth proportional to 205,400.80, 308,101.20 and 163,928.80 is: 245,893.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,400.80 : 308,101.20 = 163,928.80 : x
  2. Step 2: Convert to fraction form
    205,400.80/308,101.20 = 163,928.80/x
  3. Step 3: Cross multiply
    205,400.80x = 308,101.20 × 163,928.80
  4. Step 4: Simplify right side
    205,400.80x = 50,506,659,994.56
  5. Step 5: Solve for x
    x = 50,506,659,994.56/205,400.80
  6. Step 6: Final answer
    x = 245,893.20

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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.