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Finding the Fourth Proportional to 296,144.31, 444,209.09 and 138,549.09

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Solution

The fourth proportional to 296,144.31, 444,209.09 and 138,549.09 is: 207,820.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,144.31 : 444,209.09 = 138,549.09 : x
  2. Step 2: Convert to fraction form
    296,144.31/444,209.09 = 138,549.09/x
  3. Step 3: Cross multiply
    296,144.31x = 444,209.09 × 138,549.09
  4. Step 4: Simplify right side
    296,144.31x = 61,544,764,496.48
  5. Step 5: Solve for x
    x = 61,544,764,496.48/296,144.31
  6. Step 6: Final answer
    x = 207,820.18

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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.