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Finding the Fourth Proportional to 264,969.01, 397,181.76 and 138,542.05

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Solution

The fourth proportional to 264,969.01, 397,181.76 and 138,542.05 is: 207,670.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,969.01 : 397,181.76 = 138,542.05 : x
  2. Step 2: Convert to fraction form
    264,969.01/397,181.76 = 138,542.05/x
  3. Step 3: Cross multiply
    264,969.01x = 397,181.76 × 138,542.05
  4. Step 4: Simplify right side
    264,969.01x = 55,026,375,253.01
  5. Step 5: Solve for x
    x = 55,026,375,253.01/264,969.01
  6. Step 6: Final answer
    x = 207,670.98

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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.