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Finding the Fourth Proportional to 256,277.25, 383,658.93 and 189,272.43

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Solution

The fourth proportional to 256,277.25, 383,658.93 and 189,272.43 is: 283,349.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,277.25 : 383,658.93 = 189,272.43 : x
  2. Step 2: Convert to fraction form
    256,277.25/383,658.93 = 189,272.43/x
  3. Step 3: Cross multiply
    256,277.25x = 383,658.93 × 189,272.43
  4. Step 4: Simplify right side
    256,277.25x = 72,616,057,972.30
  5. Step 5: Solve for x
    x = 72,616,057,972.30/256,277.25
  6. Step 6: Final answer
    x = 283,349.61

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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.