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Finding the Fourth Proportional to 365,112.56, 547,731.11 and 162,782.08

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Solution

The fourth proportional to 365,112.56, 547,731.11 and 162,782.08 is: 244,200.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,112.56 : 547,731.11 = 162,782.08 : x
  2. Step 2: Convert to fraction form
    365,112.56/547,731.11 = 162,782.08/x
  3. Step 3: Cross multiply
    365,112.56x = 547,731.11 × 162,782.08
  4. Step 4: Simplify right side
    365,112.56x = 89,160,805,813.94
  5. Step 5: Solve for x
    x = 89,160,805,813.94/365,112.56
  6. Step 6: Final answer
    x = 244,200.88

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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.