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Finding the Fourth Proportional to 294,129.56, 405,906.98 and 165,076.04

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Solution

The fourth proportional to 294,129.56, 405,906.98 and 165,076.04 is: 227,809.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,129.56 : 405,906.98 = 165,076.04 : x
  2. Step 2: Convert to fraction form
    294,129.56/405,906.98 = 165,076.04/x
  3. Step 3: Cross multiply
    294,129.56x = 405,906.98 × 165,076.04
  4. Step 4: Simplify right side
    294,129.56x = 67,005,514,011.84
  5. Step 5: Solve for x
    x = 67,005,514,011.84/294,129.56
  6. Step 6: Final answer
    x = 227,809.52

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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.