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Finding the Fourth Proportional to 279,853.44, 386,205.84 and 152,537.28

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Solution

The fourth proportional to 279,853.44, 386,205.84 and 152,537.28 is: 210,505.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,853.44 : 386,205.84 = 152,537.28 : x
  2. Step 2: Convert to fraction form
    279,853.44/386,205.84 = 152,537.28/x
  3. Step 3: Cross multiply
    279,853.44x = 386,205.84 × 152,537.28
  4. Step 4: Simplify right side
    279,853.44x = 58,910,788,353.72
  5. Step 5: Solve for x
    x = 58,910,788,353.72/279,853.44
  6. Step 6: Final answer
    x = 210,505.86

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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.