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Finding the Fourth Proportional to 382,509.73, 573,758.11 and 133,185.25

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Solution

The fourth proportional to 382,509.73, 573,758.11 and 133,185.25 is: 199,775.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,509.73 : 573,758.11 = 133,185.25 : x
  2. Step 2: Convert to fraction form
    382,509.73/573,758.11 = 133,185.25/x
  3. Step 3: Cross multiply
    382,509.73x = 573,758.11 × 133,185.25
  4. Step 4: Simplify right side
    382,509.73x = 76,416,117,319.88
  5. Step 5: Solve for x
    x = 76,416,117,319.88/382,509.73
  6. Step 6: Final answer
    x = 199,775.62

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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.