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Finding the Fourth Proportional to 382,828, 574,198.18 and 102,367.12

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Solution

The fourth proportional to 382,828, 574,198.18 and 102,367.12 is: 153,538.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,828 : 574,198.18 = 102,367.12 : x
  2. Step 2: Convert to fraction form
    382,828/574,198.18 = 102,367.12/x
  3. Step 3: Cross multiply
    382,828x = 574,198.18 × 102,367.12
  4. Step 4: Simplify right side
    382,828x = 58,779,013,995.84
  5. Step 5: Solve for x
    x = 58,779,013,995.84/382,828
  6. Step 6: Final answer
    x = 153,538.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.