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Finding the Fourth Proportional to 150,396.96, 207,538.86 and 82,400.40

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Solution

The fourth proportional to 150,396.96, 207,538.86 and 82,400.40 is: 113,707.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,396.96 : 207,538.86 = 82,400.40 : x
  2. Step 2: Convert to fraction form
    150,396.96/207,538.86 = 82,400.40/x
  3. Step 3: Cross multiply
    150,396.96x = 207,538.86 × 82,400.40
  4. Step 4: Simplify right side
    150,396.96x = 17,101,285,079.54
  5. Step 5: Solve for x
    x = 17,101,285,079.54/150,396.96
  6. Step 6: Final answer
    x = 113,707.65

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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.