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Finding the Fourth Proportional to 264,867.38, 365,505.10 and 150,144.38

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Solution

The fourth proportional to 264,867.38, 365,505.10 and 150,144.38 is: 207,192.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,867.38 : 365,505.10 = 150,144.38 : x
  2. Step 2: Convert to fraction form
    264,867.38/365,505.10 = 150,144.38/x
  3. Step 3: Cross multiply
    264,867.38x = 365,505.10 × 150,144.38
  4. Step 4: Simplify right side
    264,867.38x = 54,878,534,423.45
  5. Step 5: Solve for x
    x = 54,878,534,423.45/264,867.38
  6. Step 6: Final answer
    x = 207,192.50

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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.