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Finding the Fourth Proportional to 150,422.16, 207,582.62 and 82,441.83

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Solution

The fourth proportional to 150,422.16, 207,582.62 and 82,441.83 is: 113,769.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,422.16 : 207,582.62 = 82,441.83 : x
  2. Step 2: Convert to fraction form
    150,422.16/207,582.62 = 82,441.83/x
  3. Step 3: Cross multiply
    150,422.16x = 207,582.62 × 82,441.83
  4. Step 4: Simplify right side
    150,422.16x = 17,113,491,068.99
  5. Step 5: Solve for x
    x = 17,113,491,068.99/150,422.16
  6. Step 6: Final answer
    x = 113,769.75

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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.