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Finding the Fourth Proportional to 256,568.37, 353,833.56 and 165,828.93

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Solution

The fourth proportional to 256,568.37, 353,833.56 and 165,828.93 is: 228,694.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,568.37 : 353,833.56 = 165,828.93 : x
  2. Step 2: Convert to fraction form
    256,568.37/353,833.56 = 165,828.93/x
  3. Step 3: Cross multiply
    256,568.37x = 353,833.56 × 165,828.93
  4. Step 4: Simplify right side
    256,568.37x = 58,675,840,652.89
  5. Step 5: Solve for x
    x = 58,675,840,652.89/256,568.37
  6. Step 6: Final answer
    x = 228,694.76

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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.