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Finding the Fourth Proportional to 151,885.92, 227,861.10 and 52,019.31

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Solution

The fourth proportional to 151,885.92, 227,861.10 and 52,019.31 is: 78,040.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,885.92 : 227,861.10 = 52,019.31 : x
  2. Step 2: Convert to fraction form
    151,885.92/227,861.10 = 52,019.31/x
  3. Step 3: Cross multiply
    151,885.92x = 227,861.10 × 52,019.31
  4. Step 4: Simplify right side
    151,885.92x = 11,853,177,197.84
  5. Step 5: Solve for x
    x = 11,853,177,197.84/151,885.92
  6. Step 6: Final answer
    x = 78,040.00

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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.