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Finding the Fourth Proportional to 150,344.90, 207,476.04 and 82,364.33

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Solution

The fourth proportional to 150,344.90, 207,476.04 and 82,364.33 is: 113,662.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,344.90 : 207,476.04 = 82,364.33 : x
  2. Step 2: Convert to fraction form
    150,344.90/207,476.04 = 82,364.33/x
  3. Step 3: Cross multiply
    150,344.90x = 207,476.04 × 82,364.33
  4. Step 4: Simplify right side
    150,344.90x = 17,088,625,025.65
  5. Step 5: Solve for x
    x = 17,088,625,025.65/150,344.90
  6. Step 6: Final answer
    x = 113,662.82

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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.