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Finding the Fourth Proportional to 161,576.44, 242,255.31 and 56,338

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Solution

The fourth proportional to 161,576.44, 242,255.31 and 56,338 is: 84,468.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,576.44 : 242,255.31 = 56,338 : x
  2. Step 2: Convert to fraction form
    161,576.44/242,255.31 = 56,338/x
  3. Step 3: Cross multiply
    161,576.44x = 242,255.31 × 56,338
  4. Step 4: Simplify right side
    161,576.44x = 13,648,179,654.78
  5. Step 5: Solve for x
    x = 13,648,179,654.78/161,576.44
  6. Step 6: Final answer
    x = 84,468.87

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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.