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Finding the Fourth Proportional to 264,872.73, 397,085.13 and 114,999.66

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Solution

The fourth proportional to 264,872.73, 397,085.13 and 114,999.66 is: 172,402.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,872.73 : 397,085.13 = 114,999.66 : x
  2. Step 2: Convert to fraction form
    264,872.73/397,085.13 = 114,999.66/x
  3. Step 3: Cross multiply
    264,872.73x = 397,085.13 × 114,999.66
  4. Step 4: Simplify right side
    264,872.73x = 45,664,654,941.06
  5. Step 5: Solve for x
    x = 45,664,654,941.06/264,872.73
  6. Step 6: Final answer
    x = 172,402.25

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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.