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Finding the Fourth Proportional to 299,732.24, 449,559.48 and 142,060.88

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Solution

The fourth proportional to 299,732.24, 449,559.48 and 142,060.88 is: 213,072.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,732.24 : 449,559.48 = 142,060.88 : x
  2. Step 2: Convert to fraction form
    299,732.24/449,559.48 = 142,060.88/x
  3. Step 3: Cross multiply
    299,732.24x = 449,559.48 × 142,060.88
  4. Step 4: Simplify right side
    299,732.24x = 63,864,815,341.14
  5. Step 5: Solve for x
    x = 63,864,815,341.14/299,732.24
  6. Step 6: Final answer
    x = 213,072.89

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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.