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Finding the Fourth Proportional to 365,775.29, 548,164.33 and 176,221.87

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Solution

The fourth proportional to 365,775.29, 548,164.33 and 176,221.87 is: 264,092.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,775.29 : 548,164.33 = 176,221.87 : x
  2. Step 2: Convert to fraction form
    365,775.29/548,164.33 = 176,221.87/x
  3. Step 3: Cross multiply
    365,775.29x = 548,164.33 × 176,221.87
  4. Step 4: Simplify right side
    365,775.29x = 96,598,543,299.90
  5. Step 5: Solve for x
    x = 96,598,543,299.90/365,775.29
  6. Step 6: Final answer
    x = 264,092.59

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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.