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Finding the Fourth Proportional to 264,902.04, 365,475.35 and 150,168.38

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Solution

The fourth proportional to 264,902.04, 365,475.35 and 150,168.38 is: 207,181.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,902.04 : 365,475.35 = 150,168.38 : x
  2. Step 2: Convert to fraction form
    264,902.04/365,475.35 = 150,168.38/x
  3. Step 3: Cross multiply
    264,902.04x = 365,475.35 × 150,168.38
  4. Step 4: Simplify right side
    264,902.04x = 54,882,841,239.43
  5. Step 5: Solve for x
    x = 54,882,841,239.43/264,902.04
  6. Step 6: Final answer
    x = 207,181.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.