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Finding the Fourth Proportional to 223,994.97, 308,910.11 and 148,412.25

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Solution

The fourth proportional to 223,994.97, 308,910.11 and 148,412.25 is: 204,674.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,994.97 : 308,910.11 = 148,412.25 : x
  2. Step 2: Convert to fraction form
    223,994.97/308,910.11 = 148,412.25/x
  3. Step 3: Cross multiply
    223,994.97x = 308,910.11 × 148,412.25
  4. Step 4: Simplify right side
    223,994.97x = 45,846,043,730.79
  5. Step 5: Solve for x
    x = 45,846,043,730.79/223,994.97
  6. Step 6: Final answer
    x = 204,674.43

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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.