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Finding the Fourth Proportional to 150,604, 207,832.68 and 82,619.24

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Solution

The fourth proportional to 150,604, 207,832.68 and 82,619.24 is: 114,014.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,604 : 207,832.68 = 82,619.24 : x
  2. Step 2: Convert to fraction form
    150,604/207,832.68 = 82,619.24/x
  3. Step 3: Cross multiply
    150,604x = 207,832.68 × 82,619.24
  4. Step 4: Simplify right side
    150,604x = 17,170,978,068.76
  5. Step 5: Solve for x
    x = 17,170,978,068.76/150,604
  6. Step 6: Final answer
    x = 114,014.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.