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Finding the Fourth Proportional to 296,149.56, 444,216.96 and 138,554.34

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Solution

The fourth proportional to 296,149.56, 444,216.96 and 138,554.34 is: 207,828.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,149.56 : 444,216.96 = 138,554.34 : x
  2. Step 2: Convert to fraction form
    296,149.56/444,216.96 = 138,554.34/x
  3. Step 3: Cross multiply
    296,149.56x = 444,216.96 × 138,554.34
  4. Step 4: Simplify right side
    296,149.56x = 61,548,187,709.61
  5. Step 5: Solve for x
    x = 61,548,187,709.61/296,149.56
  6. Step 6: Final answer
    x = 207,828.06

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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.