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Finding the Fourth Proportional to 255,193, 382,660.80 and 148,611.40

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Solution

The fourth proportional to 255,193, 382,660.80 and 148,611.40 is: 222,842.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,193 : 382,660.80 = 148,611.40 : x
  2. Step 2: Convert to fraction form
    255,193/382,660.80 = 148,611.40/x
  3. Step 3: Cross multiply
    255,193x = 382,660.80 × 148,611.40
  4. Step 4: Simplify right side
    255,193x = 56,867,757,213.12
  5. Step 5: Solve for x
    x = 56,867,757,213.12/255,193
  6. Step 6: Final answer
    x = 222,842.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.