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Finding the Fourth Proportional to 365,231.37, 547,847.05 and 98,991.88

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Solution

The fourth proportional to 365,231.37, 547,847.05 and 98,991.88 is: 148,487.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,231.37 : 547,847.05 = 98,991.88 : x
  2. Step 2: Convert to fraction form
    365,231.37/547,847.05 = 98,991.88/x
  3. Step 3: Cross multiply
    365,231.37x = 547,847.05 × 98,991.88
  4. Step 4: Simplify right side
    365,231.37x = 54,232,409,431.95
  5. Step 5: Solve for x
    x = 54,232,409,431.95/365,231.37
  6. Step 6: Final answer
    x = 148,487.82

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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.