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Finding the Fourth Proportional to 227,540.09, 313,870.04 and 147,015.09

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Solution

The fourth proportional to 227,540.09, 313,870.04 and 147,015.09 is: 202,793.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,540.09 : 313,870.04 = 147,015.09 : x
  2. Step 2: Convert to fraction form
    227,540.09/313,870.04 = 147,015.09/x
  3. Step 3: Cross multiply
    227,540.09x = 313,870.04 × 147,015.09
  4. Step 4: Simplify right side
    227,540.09x = 46,143,633,539.96
  5. Step 5: Solve for x
    x = 46,143,633,539.96/227,540.09
  6. Step 6: Final answer
    x = 202,793.42

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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.