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Finding the Fourth Proportional to 110,549.20, 152,437.44 and 74,676.96

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Solution

The fourth proportional to 110,549.20, 152,437.44 and 74,676.96 is: 102,972.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,549.20 : 152,437.44 = 74,676.96 : x
  2. Step 2: Convert to fraction form
    110,549.20/152,437.44 = 74,676.96/x
  3. Step 3: Cross multiply
    110,549.20x = 152,437.44 × 74,676.96
  4. Step 4: Simplify right side
    110,549.20x = 11,383,564,609.38
  5. Step 5: Solve for x
    x = 11,383,564,609.38/110,549.20
  6. Step 6: Final answer
    x = 102,972.84

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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.