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Finding the Fourth Proportional to 255,805.43, 383,654.59 and 75,892.56

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Solution

The fourth proportional to 255,805.43, 383,654.59 and 75,892.56 is: 113,822.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,805.43 : 383,654.59 = 75,892.56 : x
  2. Step 2: Convert to fraction form
    255,805.43/383,654.59 = 75,892.56/x
  3. Step 3: Cross multiply
    255,805.43x = 383,654.59 × 75,892.56
  4. Step 4: Simplify right side
    255,805.43x = 29,116,528,611.39
  5. Step 5: Solve for x
    x = 29,116,528,611.39/255,805.43
  6. Step 6: Final answer
    x = 113,822.95

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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.