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Finding the Fourth Proportional to 255,262.53, 382,893.89 and 114,857.13

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Solution

The fourth proportional to 255,262.53, 382,893.89 and 114,857.13 is: 172,285.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,262.53 : 382,893.89 = 114,857.13 : x
  2. Step 2: Convert to fraction form
    255,262.53/382,893.89 = 114,857.13/x
  3. Step 3: Cross multiply
    255,262.53x = 382,893.89 × 114,857.13
  4. Step 4: Simplify right side
    255,262.53x = 43,978,092,725.65
  5. Step 5: Solve for x
    x = 43,978,092,725.65/255,262.53
  6. Step 6: Final answer
    x = 172,285.74

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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.