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Finding the Fourth Proportional to 365,832.20, 548,748.30 and 155,442.80

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Solution

The fourth proportional to 365,832.20, 548,748.30 and 155,442.80 is: 233,164.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,832.20 : 548,748.30 = 155,442.80 : x
  2. Step 2: Convert to fraction form
    365,832.20/548,748.30 = 155,442.80/x
  3. Step 3: Cross multiply
    365,832.20x = 548,748.30 × 155,442.80
  4. Step 4: Simplify right side
    365,832.20x = 85,298,972,247.24
  5. Step 5: Solve for x
    x = 85,298,972,247.24/365,832.20
  6. Step 6: Final answer
    x = 233,164.20

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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.