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Finding the Fourth Proportional to 264,944.78, 365,620.31 and 144,083.46

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Solution

The fourth proportional to 264,944.78, 365,620.31 and 144,083.46 is: 198,833.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,944.78 : 365,620.31 = 144,083.46 : x
  2. Step 2: Convert to fraction form
    264,944.78/365,620.31 = 144,083.46/x
  3. Step 3: Cross multiply
    264,944.78x = 365,620.31 × 144,083.46
  4. Step 4: Simplify right side
    264,944.78x = 52,679,838,590.66
  5. Step 5: Solve for x
    x = 52,679,838,590.66/264,944.78
  6. Step 6: Final answer
    x = 198,833.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.