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Finding the Fourth Proportional to 265,093.09, 365,832.23 and 144,234.47

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Solution

The fourth proportional to 265,093.09, 365,832.23 and 144,234.47 is: 199,045.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,093.09 : 365,832.23 = 144,234.47 : x
  2. Step 2: Convert to fraction form
    265,093.09/365,832.23 = 144,234.47/x
  3. Step 3: Cross multiply
    265,093.09x = 365,832.23 × 144,234.47
  4. Step 4: Simplify right side
    265,093.09x = 52,765,617,996.38
  5. Step 5: Solve for x
    x = 52,765,617,996.38/265,093.09
  6. Step 6: Final answer
    x = 199,045.62

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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.