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Finding the Fourth Proportional to 151,494, 227,241.12 and 57,999.84

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Solution

The fourth proportional to 151,494, 227,241.12 and 57,999.84 is: 86,999.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,494 : 227,241.12 = 57,999.84 : x
  2. Step 2: Convert to fraction form
    151,494/227,241.12 = 57,999.84/x
  3. Step 3: Cross multiply
    151,494x = 227,241.12 × 57,999.84
  4. Step 4: Simplify right side
    151,494x = 13,179,948,601.42
  5. Step 5: Solve for x
    x = 13,179,948,601.42/151,494
  6. Step 6: Final answer
    x = 86,999.81

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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.