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Finding the Fourth Proportional to 151,773.44, 227,684.86 and 57,011

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Solution

The fourth proportional to 151,773.44, 227,684.86 and 57,011 is: 85,525.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,773.44 : 227,684.86 = 57,011 : x
  2. Step 2: Convert to fraction form
    151,773.44/227,684.86 = 57,011/x
  3. Step 3: Cross multiply
    151,773.44x = 227,684.86 × 57,011
  4. Step 4: Simplify right side
    151,773.44x = 12,980,541,553.46
  5. Step 5: Solve for x
    x = 12,980,541,553.46/151,773.44
  6. Step 6: Final answer
    x = 85,525.78

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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.